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Finding the Fourth Proportional to 758.64, 1,138.03 and 296.45

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Solution

The fourth proportional to 758.64, 1,138.03 and 296.45 is: 444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.64 : 1,138.03 = 296.45 : x
  2. Step 2: Convert to fraction form
    758.64/1,138.03 = 296.45/x
  3. Step 3: Cross multiply
    758.64x = 1,138.03 × 296.45
  4. Step 4: Simplify right side
    758.64x = 337,371.10
  5. Step 5: Solve for x
    x = 337,371.10/758.64
  6. Step 6: Final answer
    x = 444.71

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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.