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Finding the Fourth Proportional to 562.22, 842.78 and 288.44

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Solution

The fourth proportional to 562.22, 842.78 and 288.44 is: 432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.22 : 842.78 = 288.44 : x
  2. Step 2: Convert to fraction form
    562.22/842.78 = 288.44/x
  3. Step 3: Cross multiply
    562.22x = 842.78 × 288.44
  4. Step 4: Simplify right side
    562.22x = 243,091.46
  5. Step 5: Solve for x
    x = 243,091.46/562.22
  6. Step 6: Final answer
    x = 432.38

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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.