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Finding the Fourth Proportional to 478.32, 660.34 and 281.83

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Solution

The fourth proportional to 478.32, 660.34 and 281.83 is: 389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.32 : 660.34 = 281.83 : x
  2. Step 2: Convert to fraction form
    478.32/660.34 = 281.83/x
  3. Step 3: Cross multiply
    478.32x = 660.34 × 281.83
  4. Step 4: Simplify right side
    478.32x = 186,103.62
  5. Step 5: Solve for x
    x = 186,103.62/478.32
  6. Step 6: Final answer
    x = 389.08

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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.