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Finding the Fourth Proportional to 562.14, 842.49 and 288.36

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Solution

The fourth proportional to 562.14, 842.49 and 288.36 is: 432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.14 : 842.49 = 288.36 : x
  2. Step 2: Convert to fraction form
    562.14/842.49 = 288.36/x
  3. Step 3: Cross multiply
    562.14x = 842.49 × 288.36
  4. Step 4: Simplify right side
    562.14x = 242,940.42
  5. Step 5: Solve for x
    x = 242,940.42/562.14
  6. Step 6: Final answer
    x = 432.17

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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.