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Finding the Fourth Proportional to 296.04, 444.02 and 79.64

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Solution

The fourth proportional to 296.04, 444.02 and 79.64 is: 119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 444.02 = 79.64 : x
  2. Step 2: Convert to fraction form
    296.04/444.02 = 79.64/x
  3. Step 3: Cross multiply
    296.04x = 444.02 × 79.64
  4. Step 4: Simplify right side
    296.04x = 35,359.13
  5. Step 5: Solve for x
    x = 35,359.13/296.04
  6. Step 6: Final answer
    x = 119.44

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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.