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Finding the Fourth Proportional to 296.76, 444.50 and 293.48

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Solution

The fourth proportional to 296.76, 444.50 and 293.48 is: 439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.76 : 444.50 = 293.48 : x
  2. Step 2: Convert to fraction form
    296.76/444.50 = 293.48/x
  3. Step 3: Cross multiply
    296.76x = 444.50 × 293.48
  4. Step 4: Simplify right side
    296.76x = 130,451.86
  5. Step 5: Solve for x
    x = 130,451.86/296.76
  6. Step 6: Final answer
    x = 439.59

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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.