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Finding the Fourth Proportional to 410.16, 614.42 and 248.16

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Solution

The fourth proportional to 410.16, 614.42 and 248.16 is: 371.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 614.42 = 248.16 : x
  2. Step 2: Convert to fraction form
    410.16/614.42 = 248.16/x
  3. Step 3: Cross multiply
    410.16x = 614.42 × 248.16
  4. Step 4: Simplify right side
    410.16x = 152,473.23
  5. Step 5: Solve for x
    x = 152,473.23/410.16
  6. Step 6: Final answer
    x = 371.74

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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.