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Finding the Fourth Proportional to 407.34, 562.05 and 252.18

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Solution

The fourth proportional to 407.34, 562.05 and 252.18 is: 347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.34 : 562.05 = 252.18 : x
  2. Step 2: Convert to fraction form
    407.34/562.05 = 252.18/x
  3. Step 3: Cross multiply
    407.34x = 562.05 × 252.18
  4. Step 4: Simplify right side
    407.34x = 141,737.77
  5. Step 5: Solve for x
    x = 141,737.77/407.34
  6. Step 6: Final answer
    x = 347.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.