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Finding the Fourth Proportional to 383.48, 574.50 and 296.96

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Solution

The fourth proportional to 383.48, 574.50 and 296.96 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.48 : 574.50 = 296.96 : x
  2. Step 2: Convert to fraction form
    383.48/574.50 = 296.96/x
  3. Step 3: Cross multiply
    383.48x = 574.50 × 296.96
  4. Step 4: Simplify right side
    383.48x = 170,603.52
  5. Step 5: Solve for x
    x = 170,603.52/383.48
  6. Step 6: Final answer
    x = 444.88

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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.