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Finding the Fourth Proportional to 570.38, 787.28 and 360.43

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Solution

The fourth proportional to 570.38, 787.28 and 360.43 is: 497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.38 : 787.28 = 360.43 : x
  2. Step 2: Convert to fraction form
    570.38/787.28 = 360.43/x
  3. Step 3: Cross multiply
    570.38x = 787.28 × 360.43
  4. Step 4: Simplify right side
    570.38x = 283,755.56
  5. Step 5: Solve for x
    x = 283,755.56/570.38
  6. Step 6: Final answer
    x = 497.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.