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Finding the Fourth Proportional to 407.47, 562.40 and 250.14

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Solution

The fourth proportional to 407.47, 562.40 and 250.14 is: 345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.47 : 562.40 = 250.14 : x
  2. Step 2: Convert to fraction form
    407.47/562.40 = 250.14/x
  3. Step 3: Cross multiply
    407.47x = 562.40 × 250.14
  4. Step 4: Simplify right side
    407.47x = 140,677.84
  5. Step 5: Solve for x
    x = 140,677.84/407.47
  6. Step 6: Final answer
    x = 345.25

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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.