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Finding the Fourth Proportional to 410.11, 614.38 and 322.98

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Solution

The fourth proportional to 410.11, 614.38 and 322.98 is: 483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.11 : 614.38 = 322.98 : x
  2. Step 2: Convert to fraction form
    410.11/614.38 = 322.98/x
  3. Step 3: Cross multiply
    410.11x = 614.38 × 322.98
  4. Step 4: Simplify right side
    410.11x = 198,433.95
  5. Step 5: Solve for x
    x = 198,433.95/410.11
  6. Step 6: Final answer
    x = 483.85

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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.