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Finding the Fourth Proportional to 410.16, 615.86 and 257.06

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Solution

The fourth proportional to 410.16, 615.86 and 257.06 is: 385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 615.86 = 257.06 : x
  2. Step 2: Convert to fraction form
    410.16/615.86 = 257.06/x
  3. Step 3: Cross multiply
    410.16x = 615.86 × 257.06
  4. Step 4: Simplify right side
    410.16x = 158,308.61
  5. Step 5: Solve for x
    x = 158,308.61/410.16
  6. Step 6: Final answer
    x = 385.97

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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.