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Finding the Fourth Proportional to 562.32, 841.56 and 471.12

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Solution

The fourth proportional to 562.32, 841.56 and 471.12 is: 705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 841.56 = 471.12 : x
  2. Step 2: Convert to fraction form
    562.32/841.56 = 471.12/x
  3. Step 3: Cross multiply
    562.32x = 841.56 × 471.12
  4. Step 4: Simplify right side
    562.32x = 396,475.75
  5. Step 5: Solve for x
    x = 396,475.75/562.32
  6. Step 6: Final answer
    x = 705.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.