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Finding the Fourth Proportional to 723.41, 998.15 and 428.77

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Solution

The fourth proportional to 723.41, 998.15 and 428.77 is: 591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.41 : 998.15 = 428.77 : x
  2. Step 2: Convert to fraction form
    723.41/998.15 = 428.77/x
  3. Step 3: Cross multiply
    723.41x = 998.15 × 428.77
  4. Step 4: Simplify right side
    723.41x = 427,972.14
  5. Step 5: Solve for x
    x = 427,972.14/723.41
  6. Step 6: Final answer
    x = 591.61

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.