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Finding the Fourth Proportional to 502.81, 752.84 and 433.25

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Solution

The fourth proportional to 502.81, 752.84 and 433.25 is: 648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.81 : 752.84 = 433.25 : x
  2. Step 2: Convert to fraction form
    502.81/752.84 = 433.25/x
  3. Step 3: Cross multiply
    502.81x = 752.84 × 433.25
  4. Step 4: Simplify right side
    502.81x = 326,168.88
  5. Step 5: Solve for x
    x = 326,168.88/502.81
  6. Step 6: Final answer
    x = 648.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.