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Finding the Fourth Proportional to 723.34, 997.95 and 439.66

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Solution

The fourth proportional to 723.34, 997.95 and 439.66 is: 606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.34 : 997.95 = 439.66 : x
  2. Step 2: Convert to fraction form
    723.34/997.95 = 439.66/x
  3. Step 3: Cross multiply
    723.34x = 997.95 × 439.66
  4. Step 4: Simplify right side
    723.34x = 438,758.70
  5. Step 5: Solve for x
    x = 438,758.70/723.34
  6. Step 6: Final answer
    x = 606.57

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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.