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Finding the Fourth Proportional to 451.08, 675.24 and 296.70

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Solution

The fourth proportional to 451.08, 675.24 and 296.70 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.08 : 675.24 = 296.70 : x
  2. Step 2: Convert to fraction form
    451.08/675.24 = 296.70/x
  3. Step 3: Cross multiply
    451.08x = 675.24 × 296.70
  4. Step 4: Simplify right side
    451.08x = 200,343.71
  5. Step 5: Solve for x
    x = 200,343.71/451.08
  6. Step 6: Final answer
    x = 444.14

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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.