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Finding the Fourth Proportional to 330.17, 494.65 and 315.19

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Solution

The fourth proportional to 330.17, 494.65 and 315.19 is: 472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.17 : 494.65 = 315.19 : x
  2. Step 2: Convert to fraction form
    330.17/494.65 = 315.19/x
  3. Step 3: Cross multiply
    330.17x = 494.65 × 315.19
  4. Step 4: Simplify right side
    330.17x = 155,906.71
  5. Step 5: Solve for x
    x = 155,906.71/330.17
  6. Step 6: Final answer
    x = 472.20

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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.