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Finding the Fourth Proportional to 723.16, 997.59 and 460.90

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Solution

The fourth proportional to 723.16, 997.59 and 460.90 is: 635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.16 : 997.59 = 460.90 : x
  2. Step 2: Convert to fraction form
    723.16/997.59 = 460.90/x
  3. Step 3: Cross multiply
    723.16x = 997.59 × 460.90
  4. Step 4: Simplify right side
    723.16x = 459,789.23
  5. Step 5: Solve for x
    x = 459,789.23/723.16
  6. Step 6: Final answer
    x = 635.81

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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.