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Finding the Fourth Proportional to 518.52, 715.88 and 463.16

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Solution

The fourth proportional to 518.52, 715.88 and 463.16 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.52 : 715.88 = 463.16 : x
  2. Step 2: Convert to fraction form
    518.52/715.88 = 463.16/x
  3. Step 3: Cross multiply
    518.52x = 715.88 × 463.16
  4. Step 4: Simplify right side
    518.52x = 331,566.98
  5. Step 5: Solve for x
    x = 331,566.98/518.52
  6. Step 6: Final answer
    x = 639.45

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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.