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Finding the Fourth Proportional to 562.96, 842.68 and 459.28

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Solution

The fourth proportional to 562.96, 842.68 and 459.28 is: 687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 842.68 = 459.28 : x
  2. Step 2: Convert to fraction form
    562.96/842.68 = 459.28/x
  3. Step 3: Cross multiply
    562.96x = 842.68 × 459.28
  4. Step 4: Simplify right side
    562.96x = 387,019.56
  5. Step 5: Solve for x
    x = 387,019.56/562.96
  6. Step 6: Final answer
    x = 687.48

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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.