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Finding the Fourth Proportional to 418.71, 627.11 and 256.11

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Solution

The fourth proportional to 418.71, 627.11 and 256.11 is: 383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.71 : 627.11 = 256.11 : x
  2. Step 2: Convert to fraction form
    418.71/627.11 = 256.11/x
  3. Step 3: Cross multiply
    418.71x = 627.11 × 256.11
  4. Step 4: Simplify right side
    418.71x = 160,607.86
  5. Step 5: Solve for x
    x = 160,607.86/418.71
  6. Step 6: Final answer
    x = 383.58

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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.