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Finding the Fourth Proportional to 478.80, 661.50 and 439.92

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Solution

The fourth proportional to 478.80, 661.50 and 439.92 is: 607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.80 : 661.50 = 439.92 : x
  2. Step 2: Convert to fraction form
    478.80/661.50 = 439.92/x
  3. Step 3: Cross multiply
    478.80x = 661.50 × 439.92
  4. Step 4: Simplify right side
    478.80x = 291,007.08
  5. Step 5: Solve for x
    x = 291,007.08/478.80
  6. Step 6: Final answer
    x = 607.78

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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.