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Finding the Fourth Proportional to 502.27, 750.07 and 496.84

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Solution

The fourth proportional to 502.27, 750.07 and 496.84 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.27 : 750.07 = 496.84 : x
  2. Step 2: Convert to fraction form
    502.27/750.07 = 496.84/x
  3. Step 3: Cross multiply
    502.27x = 750.07 × 496.84
  4. Step 4: Simplify right side
    502.27x = 372,662.29
  5. Step 5: Solve for x
    x = 372,662.29/502.27
  6. Step 6: Final answer
    x = 741.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.