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Finding the Fourth Proportional to 562.28, 842.74 and 288.43

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Solution

The fourth proportional to 562.28, 842.74 and 288.43 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.28 : 842.74 = 288.43 : x
  2. Step 2: Convert to fraction form
    562.28/842.74 = 288.43/x
  3. Step 3: Cross multiply
    562.28x = 842.74 × 288.43
  4. Step 4: Simplify right side
    562.28x = 243,068.67
  5. Step 5: Solve for x
    x = 243,068.67/562.28
  6. Step 6: Final answer
    x = 432.29

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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.