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Finding the Fourth Proportional to 392.18, 587.49 and 319.14

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Solution

The fourth proportional to 392.18, 587.49 and 319.14 is: 478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.18 : 587.49 = 319.14 : x
  2. Step 2: Convert to fraction form
    392.18/587.49 = 319.14/x
  3. Step 3: Cross multiply
    392.18x = 587.49 × 319.14
  4. Step 4: Simplify right side
    392.18x = 187,491.56
  5. Step 5: Solve for x
    x = 187,491.56/392.18
  6. Step 6: Final answer
    x = 478.08

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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.