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Finding the Fourth Proportional to 330.83, 495.50 and 257.12

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Solution

The fourth proportional to 330.83, 495.50 and 257.12 is: 385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.83 : 495.50 = 257.12 : x
  2. Step 2: Convert to fraction form
    330.83/495.50 = 257.12/x
  3. Step 3: Cross multiply
    330.83x = 495.50 × 257.12
  4. Step 4: Simplify right side
    330.83x = 127,402.96
  5. Step 5: Solve for x
    x = 127,402.96/330.83
  6. Step 6: Final answer
    x = 385.10

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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.