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Finding the Fourth Proportional to 518.32, 773.63 and 456.83

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Solution

The fourth proportional to 518.32, 773.63 and 456.83 is: 681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.32 : 773.63 = 456.83 : x
  2. Step 2: Convert to fraction form
    518.32/773.63 = 456.83/x
  3. Step 3: Cross multiply
    518.32x = 773.63 × 456.83
  4. Step 4: Simplify right side
    518.32x = 353,417.39
  5. Step 5: Solve for x
    x = 353,417.39/518.32
  6. Step 6: Final answer
    x = 681.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.