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Finding the Fourth Proportional to 502.96, 752.82 and 380.38

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Solution

The fourth proportional to 502.96, 752.82 and 380.38 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 752.82 = 380.38 : x
  2. Step 2: Convert to fraction form
    502.96/752.82 = 380.38/x
  3. Step 3: Cross multiply
    502.96x = 752.82 × 380.38
  4. Step 4: Simplify right side
    502.96x = 286,357.67
  5. Step 5: Solve for x
    x = 286,357.67/502.96
  6. Step 6: Final answer
    x = 569.34

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