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Finding the Fourth Proportional to 723.48, 998.16 and 502.35

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Solution

The fourth proportional to 723.48, 998.16 and 502.35 is: 693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 998.16 = 502.35 : x
  2. Step 2: Convert to fraction form
    723.48/998.16 = 502.35/x
  3. Step 3: Cross multiply
    723.48x = 998.16 × 502.35
  4. Step 4: Simplify right side
    723.48x = 501,425.68
  5. Step 5: Solve for x
    x = 501,425.68/723.48
  6. Step 6: Final answer
    x = 693.07

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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.