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Finding the Fourth Proportional to 570.43, 787.49 and 395.47

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Solution

The fourth proportional to 570.43, 787.49 and 395.47 is: 545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.43 : 787.49 = 395.47 : x
  2. Step 2: Convert to fraction form
    570.43/787.49 = 395.47/x
  3. Step 3: Cross multiply
    570.43x = 787.49 × 395.47
  4. Step 4: Simplify right side
    570.43x = 311,428.67
  5. Step 5: Solve for x
    x = 311,428.67/570.43
  6. Step 6: Final answer
    x = 545.95

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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.