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Finding the Fourth Proportional to 478.53, 660.14 and 301.71

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Solution

The fourth proportional to 478.53, 660.14 and 301.71 is: 416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.53 : 660.14 = 301.71 : x
  2. Step 2: Convert to fraction form
    478.53/660.14 = 301.71/x
  3. Step 3: Cross multiply
    478.53x = 660.14 × 301.71
  4. Step 4: Simplify right side
    478.53x = 199,169.33
  5. Step 5: Solve for x
    x = 199,169.33/478.53
  6. Step 6: Final answer
    x = 416.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.