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Finding the Fourth Proportional to 318.61, 477.60 and 284.23

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Solution

The fourth proportional to 318.61, 477.60 and 284.23 is: 426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.61 : 477.60 = 284.23 : x
  2. Step 2: Convert to fraction form
    318.61/477.60 = 284.23/x
  3. Step 3: Cross multiply
    318.61x = 477.60 × 284.23
  4. Step 4: Simplify right side
    318.61x = 135,748.25
  5. Step 5: Solve for x
    x = 135,748.25/318.61
  6. Step 6: Final answer
    x = 426.06

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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.