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Finding the Fourth Proportional to 317.91, 476.58 and 256.71

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Solution

The fourth proportional to 317.91, 476.58 and 256.71 is: 384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.91 : 476.58 = 256.71 : x
  2. Step 2: Convert to fraction form
    317.91/476.58 = 256.71/x
  3. Step 3: Cross multiply
    317.91x = 476.58 × 256.71
  4. Step 4: Simplify right side
    317.91x = 122,342.85
  5. Step 5: Solve for x
    x = 122,342.85/317.91
  6. Step 6: Final answer
    x = 384.83

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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.