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Finding the Fourth Proportional to 519.59, 777.24 and 473.97

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Solution

The fourth proportional to 519.59, 777.24 and 473.97 is: 709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.59 : 777.24 = 473.97 : x
  2. Step 2: Convert to fraction form
    519.59/777.24 = 473.97/x
  3. Step 3: Cross multiply
    519.59x = 777.24 × 473.97
  4. Step 4: Simplify right side
    519.59x = 368,385.47
  5. Step 5: Solve for x
    x = 368,385.47/519.59
  6. Step 6: Final answer
    x = 709.00

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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.