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Finding the Fourth Proportional to 318.57, 477.02 and 256.55

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Solution

The fourth proportional to 318.57, 477.02 and 256.55 is: 384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.57 : 477.02 = 256.55 : x
  2. Step 2: Convert to fraction form
    318.57/477.02 = 256.55/x
  3. Step 3: Cross multiply
    318.57x = 477.02 × 256.55
  4. Step 4: Simplify right side
    318.57x = 122,375.81
  5. Step 5: Solve for x
    x = 122,375.81/318.57
  6. Step 6: Final answer
    x = 384.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.