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Finding the Fourth Proportional to 502.04, 752.82 and 213.08

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Solution

The fourth proportional to 502.04, 752.82 and 213.08 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.04 : 752.82 = 213.08 : x
  2. Step 2: Convert to fraction form
    502.04/752.82 = 213.08/x
  3. Step 3: Cross multiply
    502.04x = 752.82 × 213.08
  4. Step 4: Simplify right side
    502.04x = 160,410.89
  5. Step 5: Solve for x
    x = 160,410.89/502.04
  6. Step 6: Final answer
    x = 319.52

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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.