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Finding the Fourth Proportional to 318.73, 476.71 and 256.76

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Solution

The fourth proportional to 318.73, 476.71 and 256.76 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.73 : 476.71 = 256.76 : x
  2. Step 2: Convert to fraction form
    318.73/476.71 = 256.76/x
  3. Step 3: Cross multiply
    318.73x = 476.71 × 256.76
  4. Step 4: Simplify right side
    318.73x = 122,400.06
  5. Step 5: Solve for x
    x = 122,400.06/318.73
  6. Step 6: Final answer
    x = 384.02

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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.