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Finding the Fourth Proportional to 296.52, 445.68 and 291.84

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Solution

The fourth proportional to 296.52, 445.68 and 291.84 is: 438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 445.68 = 291.84 : x
  2. Step 2: Convert to fraction form
    296.52/445.68 = 291.84/x
  3. Step 3: Cross multiply
    296.52x = 445.68 × 291.84
  4. Step 4: Simplify right side
    296.52x = 130,067.25
  5. Step 5: Solve for x
    x = 130,067.25/296.52
  6. Step 6: Final answer
    x = 438.65

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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.