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Finding the Fourth Proportional to 711.59, 982.15 and 462.47

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Solution

The fourth proportional to 711.59, 982.15 and 462.47 is: 638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.59 : 982.15 = 462.47 : x
  2. Step 2: Convert to fraction form
    711.59/982.15 = 462.47/x
  3. Step 3: Cross multiply
    711.59x = 982.15 × 462.47
  4. Step 4: Simplify right side
    711.59x = 454,216.21
  5. Step 5: Solve for x
    x = 454,216.21/711.59
  6. Step 6: Final answer
    x = 638.32

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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.