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Finding the Fourth Proportional to 502.95, 752.86 and 378.82

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Solution

The fourth proportional to 502.95, 752.86 and 378.82 is: 567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.95 : 752.86 = 378.82 : x
  2. Step 2: Convert to fraction form
    502.95/752.86 = 378.82/x
  3. Step 3: Cross multiply
    502.95x = 752.86 × 378.82
  4. Step 4: Simplify right side
    502.95x = 285,198.43
  5. Step 5: Solve for x
    x = 285,198.43/502.95
  6. Step 6: Final answer
    x = 567.05

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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.