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Finding the Fourth Proportional to 424.60, 637.80 and 409.30

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Solution

The fourth proportional to 424.60, 637.80 and 409.30 is: 614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.60 : 637.80 = 409.30 : x
  2. Step 2: Convert to fraction form
    424.60/637.80 = 409.30/x
  3. Step 3: Cross multiply
    424.60x = 637.80 × 409.30
  4. Step 4: Simplify right side
    424.60x = 261,051.54
  5. Step 5: Solve for x
    x = 261,051.54/424.60
  6. Step 6: Final answer
    x = 614.82

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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.