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Finding the Fourth Proportional to 410.54, 615.30 and 314.14

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Solution

The fourth proportional to 410.54, 615.30 and 314.14 is: 470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.54 : 615.30 = 314.14 : x
  2. Step 2: Convert to fraction form
    410.54/615.30 = 314.14/x
  3. Step 3: Cross multiply
    410.54x = 615.30 × 314.14
  4. Step 4: Simplify right side
    410.54x = 193,290.34
  5. Step 5: Solve for x
    x = 193,290.34/410.54
  6. Step 6: Final answer
    x = 470.82

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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.