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Finding the Fourth Proportional to 562.32, 842.80 and 400.04

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Solution

The fourth proportional to 562.32, 842.80 and 400.04 is: 599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 842.80 = 400.04 : x
  2. Step 2: Convert to fraction form
    562.32/842.80 = 400.04/x
  3. Step 3: Cross multiply
    562.32x = 842.80 × 400.04
  4. Step 4: Simplify right side
    562.32x = 337,153.71
  5. Step 5: Solve for x
    x = 337,153.71/562.32
  6. Step 6: Final answer
    x = 599.58

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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.