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Finding the Fourth Proportional to 348.28, 521.28 and 315.46

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Solution

The fourth proportional to 348.28, 521.28 and 315.46 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.28 : 521.28 = 315.46 : x
  2. Step 2: Convert to fraction form
    348.28/521.28 = 315.46/x
  3. Step 3: Cross multiply
    348.28x = 521.28 × 315.46
  4. Step 4: Simplify right side
    348.28x = 164,442.99
  5. Step 5: Solve for x
    x = 164,442.99/348.28
  6. Step 6: Final answer
    x = 472.16

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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.