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Finding the Fourth Proportional to 519.60, 778.32 and 473.16

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Solution

The fourth proportional to 519.60, 778.32 and 473.16 is: 708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 778.32 = 473.16 : x
  2. Step 2: Convert to fraction form
    519.60/778.32 = 473.16/x
  3. Step 3: Cross multiply
    519.60x = 778.32 × 473.16
  4. Step 4: Simplify right side
    519.60x = 368,269.89
  5. Step 5: Solve for x
    x = 368,269.89/519.60
  6. Step 6: Final answer
    x = 708.76

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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.