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Finding the Fourth Proportional to 502.98, 753.42 and 286.08

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Solution

The fourth proportional to 502.98, 753.42 and 286.08 is: 428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.98 : 753.42 = 286.08 : x
  2. Step 2: Convert to fraction form
    502.98/753.42 = 286.08/x
  3. Step 3: Cross multiply
    502.98x = 753.42 × 286.08
  4. Step 4: Simplify right side
    502.98x = 215,538.39
  5. Step 5: Solve for x
    x = 215,538.39/502.98
  6. Step 6: Final answer
    x = 428.52

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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.