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Finding the Fourth Proportional to 348.71, 521.57 and 256.21

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Solution

The fourth proportional to 348.71, 521.57 and 256.21 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.71 : 521.57 = 256.21 : x
  2. Step 2: Convert to fraction form
    348.71/521.57 = 256.21/x
  3. Step 3: Cross multiply
    348.71x = 521.57 × 256.21
  4. Step 4: Simplify right side
    348.71x = 133,630.79
  5. Step 5: Solve for x
    x = 133,630.79/348.71
  6. Step 6: Final answer
    x = 383.22

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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.