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Finding the Fourth Proportional to 591.38, 887.45 and 298.97

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Solution

The fourth proportional to 591.38, 887.45 and 298.97 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 887.45 = 298.97 : x
  2. Step 2: Convert to fraction form
    591.38/887.45 = 298.97/x
  3. Step 3: Cross multiply
    591.38x = 887.45 × 298.97
  4. Step 4: Simplify right side
    591.38x = 265,320.93
  5. Step 5: Solve for x
    x = 265,320.93/591.38
  6. Step 6: Final answer
    x = 448.65

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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.