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Finding the Fourth Proportional to 562.40, 842.06 and 471.60

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Solution

The fourth proportional to 562.40, 842.06 and 471.60 is: 706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.40 : 842.06 = 471.60 : x
  2. Step 2: Convert to fraction form
    562.40/842.06 = 471.60/x
  3. Step 3: Cross multiply
    562.40x = 842.06 × 471.60
  4. Step 4: Simplify right side
    562.40x = 397,115.50
  5. Step 5: Solve for x
    x = 397,115.50/562.40
  6. Step 6: Final answer
    x = 706.11

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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.