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Finding the Fourth Proportional to 518.10, 715.06 and 463.14

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Solution

The fourth proportional to 518.10, 715.06 and 463.14 is: 639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.10 : 715.06 = 463.14 : x
  2. Step 2: Convert to fraction form
    518.10/715.06 = 463.14/x
  3. Step 3: Cross multiply
    518.10x = 715.06 × 463.14
  4. Step 4: Simplify right side
    518.10x = 331,169.31
  5. Step 5: Solve for x
    x = 331,169.31/518.10
  6. Step 6: Final answer
    x = 639.21

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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.