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Finding the Fourth Proportional to 518.29, 716.36 and 458.86

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Solution

The fourth proportional to 518.29, 716.36 and 458.86 is: 634.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.29 : 716.36 = 458.86 : x
  2. Step 2: Convert to fraction form
    518.29/716.36 = 458.86/x
  3. Step 3: Cross multiply
    518.29x = 716.36 × 458.86
  4. Step 4: Simplify right side
    518.29x = 328,708.95
  5. Step 5: Solve for x
    x = 328,708.95/518.29
  6. Step 6: Final answer
    x = 634.22

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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.