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Finding the Fourth Proportional to 409.62, 615.15 and 248.25

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Solution

The fourth proportional to 409.62, 615.15 and 248.25 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.62 : 615.15 = 248.25 : x
  2. Step 2: Convert to fraction form
    409.62/615.15 = 248.25/x
  3. Step 3: Cross multiply
    409.62x = 615.15 × 248.25
  4. Step 4: Simplify right side
    409.62x = 152,710.99
  5. Step 5: Solve for x
    x = 152,710.99/409.62
  6. Step 6: Final answer
    x = 372.81

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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.