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Finding the Fourth Proportional to 562.62, 842.76 and 400.62

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Solution

The fourth proportional to 562.62, 842.76 and 400.62 is: 600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.62 : 842.76 = 400.62 : x
  2. Step 2: Convert to fraction form
    562.62/842.76 = 400.62/x
  3. Step 3: Cross multiply
    562.62x = 842.76 × 400.62
  4. Step 4: Simplify right side
    562.62x = 337,626.51
  5. Step 5: Solve for x
    x = 337,626.51/562.62
  6. Step 6: Final answer
    x = 600.10

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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.