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Finding the Fourth Proportional to 562.13, 842.51 and 253.90

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Solution

The fourth proportional to 562.13, 842.51 and 253.90 is: 380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 842.51 = 253.90 : x
  2. Step 2: Convert to fraction form
    562.13/842.51 = 253.90/x
  3. Step 3: Cross multiply
    562.13x = 842.51 × 253.90
  4. Step 4: Simplify right side
    562.13x = 213,913.29
  5. Step 5: Solve for x
    x = 213,913.29/562.13
  6. Step 6: Final answer
    x = 380.54

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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.