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Finding the Fourth Proportional to 562.84, 842.71 and 288.34

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Solution

The fourth proportional to 562.84, 842.71 and 288.34 is: 431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 842.71 = 288.34 : x
  2. Step 2: Convert to fraction form
    562.84/842.71 = 288.34/x
  3. Step 3: Cross multiply
    562.84x = 842.71 × 288.34
  4. Step 4: Simplify right side
    562.84x = 242,985.56
  5. Step 5: Solve for x
    x = 242,985.56/562.84
  6. Step 6: Final answer
    x = 431.71

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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.