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Finding the Fourth Proportional to 407.61, 562.38 and 250.38

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Solution

The fourth proportional to 407.61, 562.38 and 250.38 is: 345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.61 : 562.38 = 250.38 : x
  2. Step 2: Convert to fraction form
    407.61/562.38 = 250.38/x
  3. Step 3: Cross multiply
    407.61x = 562.38 × 250.38
  4. Step 4: Simplify right side
    407.61x = 140,808.70
  5. Step 5: Solve for x
    x = 140,808.70/407.61
  6. Step 6: Final answer
    x = 345.45

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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.