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Finding the Fourth Proportional to 318.07, 475.71 and 276.90

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Solution

The fourth proportional to 318.07, 475.71 and 276.90 is: 414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.07 : 475.71 = 276.90 : x
  2. Step 2: Convert to fraction form
    318.07/475.71 = 276.90/x
  3. Step 3: Cross multiply
    318.07x = 475.71 × 276.90
  4. Step 4: Simplify right side
    318.07x = 131,724.10
  5. Step 5: Solve for x
    x = 131,724.10/318.07
  6. Step 6: Final answer
    x = 414.14

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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.