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Finding the Fourth Proportional to 354.83, 531.78 and 318.38

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Solution

The fourth proportional to 354.83, 531.78 and 318.38 is: 477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.83 : 531.78 = 318.38 : x
  2. Step 2: Convert to fraction form
    354.83/531.78 = 318.38/x
  3. Step 3: Cross multiply
    354.83x = 531.78 × 318.38
  4. Step 4: Simplify right side
    354.83x = 169,308.12
  5. Step 5: Solve for x
    x = 169,308.12/354.83
  6. Step 6: Final answer
    x = 477.15

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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.