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Finding the Fourth Proportional to 502.78, 752.49 and 380.37

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Solution

The fourth proportional to 502.78, 752.49 and 380.37 is: 569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.78 : 752.49 = 380.37 : x
  2. Step 2: Convert to fraction form
    502.78/752.49 = 380.37/x
  3. Step 3: Cross multiply
    502.78x = 752.49 × 380.37
  4. Step 4: Simplify right side
    502.78x = 286,220.86
  5. Step 5: Solve for x
    x = 286,220.86/502.78
  6. Step 6: Final answer
    x = 569.28

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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.