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Finding the Fourth Proportional to 410.12, 614.03 and 319.87

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Solution

The fourth proportional to 410.12, 614.03 and 319.87 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.12 : 614.03 = 319.87 : x
  2. Step 2: Convert to fraction form
    410.12/614.03 = 319.87/x
  3. Step 3: Cross multiply
    410.12x = 614.03 × 319.87
  4. Step 4: Simplify right side
    410.12x = 196,408.18
  5. Step 5: Solve for x
    x = 196,408.18/410.12
  6. Step 6: Final answer
    x = 478.91

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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.