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Finding the Fourth Proportional to 518.85, 777.37 and 432.74

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Solution

The fourth proportional to 518.85, 777.37 and 432.74 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.85 : 777.37 = 432.74 : x
  2. Step 2: Convert to fraction form
    518.85/777.37 = 432.74/x
  3. Step 3: Cross multiply
    518.85x = 777.37 × 432.74
  4. Step 4: Simplify right side
    518.85x = 336,394.13
  5. Step 5: Solve for x
    x = 336,394.13/518.85
  6. Step 6: Final answer
    x = 648.35

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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.