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Finding the Fourth Proportional to 522.56, 721.01 and 312.77

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Solution

The fourth proportional to 522.56, 721.01 and 312.77 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.56 : 721.01 = 312.77 : x
  2. Step 2: Convert to fraction form
    522.56/721.01 = 312.77/x
  3. Step 3: Cross multiply
    522.56x = 721.01 × 312.77
  4. Step 4: Simplify right side
    522.56x = 225,508.73
  5. Step 5: Solve for x
    x = 225,508.73/522.56
  6. Step 6: Final answer
    x = 431.55

Related Problems

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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.