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Finding the Fourth Proportional to 518.60, 716.02 and 463.16

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Solution

The fourth proportional to 518.60, 716.02 and 463.16 is: 639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.60 : 716.02 = 463.16 : x
  2. Step 2: Convert to fraction form
    518.60/716.02 = 463.16/x
  3. Step 3: Cross multiply
    518.60x = 716.02 × 463.16
  4. Step 4: Simplify right side
    518.60x = 331,631.82
  5. Step 5: Solve for x
    x = 331,631.82/518.60
  6. Step 6: Final answer
    x = 639.48

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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.