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Finding the Fourth Proportional to 397.17, 594.33 and 287.61

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Solution

The fourth proportional to 397.17, 594.33 and 287.61 is: 430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.17 : 594.33 = 287.61 : x
  2. Step 2: Convert to fraction form
    397.17/594.33 = 287.61/x
  3. Step 3: Cross multiply
    397.17x = 594.33 × 287.61
  4. Step 4: Simplify right side
    397.17x = 170,935.25
  5. Step 5: Solve for x
    x = 170,935.25/397.17
  6. Step 6: Final answer
    x = 430.38

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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.