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Finding the Fourth Proportional to 518.38, 710.98 and 460.06

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Solution

The fourth proportional to 518.38, 710.98 and 460.06 is: 630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 710.98 = 460.06 : x
  2. Step 2: Convert to fraction form
    518.38/710.98 = 460.06/x
  3. Step 3: Cross multiply
    518.38x = 710.98 × 460.06
  4. Step 4: Simplify right side
    518.38x = 327,093.46
  5. Step 5: Solve for x
    x = 327,093.46/518.38
  6. Step 6: Final answer
    x = 630.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.