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Finding the Fourth Proportional to 562.01, 842.67 and 288.43

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Solution

The fourth proportional to 562.01, 842.67 and 288.43 is: 432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.01 : 842.67 = 288.43 : x
  2. Step 2: Convert to fraction form
    562.01/842.67 = 288.43/x
  3. Step 3: Cross multiply
    562.01x = 842.67 × 288.43
  4. Step 4: Simplify right side
    562.01x = 243,049.20
  5. Step 5: Solve for x
    x = 243,049.20/562.01
  6. Step 6: Final answer
    x = 432.47

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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.