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Finding the Fourth Proportional to 296.64, 444.48 and 282.24

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Solution

The fourth proportional to 296.64, 444.48 and 282.24 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.64 : 444.48 = 282.24 : x
  2. Step 2: Convert to fraction form
    296.64/444.48 = 282.24/x
  3. Step 3: Cross multiply
    296.64x = 444.48 × 282.24
  4. Step 4: Simplify right side
    296.64x = 125,450.04
  5. Step 5: Solve for x
    x = 125,450.04/296.64
  6. Step 6: Final answer
    x = 422.90

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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.