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Finding the Fourth Proportional to 723.25, 997.14 and 460.81

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Solution

The fourth proportional to 723.25, 997.14 and 460.81 is: 635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.25 : 997.14 = 460.81 : x
  2. Step 2: Convert to fraction form
    723.25/997.14 = 460.81/x
  3. Step 3: Cross multiply
    723.25x = 997.14 × 460.81
  4. Step 4: Simplify right side
    723.25x = 459,492.08
  5. Step 5: Solve for x
    x = 459,492.08/723.25
  6. Step 6: Final answer
    x = 635.32

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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.