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Finding the Fourth Proportional to 518.62, 716.72 and 425.21

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Solution

The fourth proportional to 518.62, 716.72 and 425.21 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.62 : 716.72 = 425.21 : x
  2. Step 2: Convert to fraction form
    518.62/716.72 = 425.21/x
  3. Step 3: Cross multiply
    518.62x = 716.72 × 425.21
  4. Step 4: Simplify right side
    518.62x = 304,756.18
  5. Step 5: Solve for x
    x = 304,756.18/518.62
  6. Step 6: Final answer
    x = 587.63

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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.