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Finding the Fourth Proportional to 478.39, 660.14 and 281.86

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Solution

The fourth proportional to 478.39, 660.14 and 281.86 is: 388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.39 : 660.14 = 281.86 : x
  2. Step 2: Convert to fraction form
    478.39/660.14 = 281.86/x
  3. Step 3: Cross multiply
    478.39x = 660.14 × 281.86
  4. Step 4: Simplify right side
    478.39x = 186,068.59
  5. Step 5: Solve for x
    x = 186,068.59/478.39
  6. Step 6: Final answer
    x = 388.95

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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.