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Finding the Fourth Proportional to 410.82, 614.76 and 237

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Solution

The fourth proportional to 410.82, 614.76 and 237 is: 354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 614.76 = 237 : x
  2. Step 2: Convert to fraction form
    410.82/614.76 = 237/x
  3. Step 3: Cross multiply
    410.82x = 614.76 × 237
  4. Step 4: Simplify right side
    410.82x = 145,698.12
  5. Step 5: Solve for x
    x = 145,698.12/410.82
  6. Step 6: Final answer
    x = 354.65

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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.