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Finding the Fourth Proportional to 461.52, 690.82 and 296.77

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Solution

The fourth proportional to 461.52, 690.82 and 296.77 is: 444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 690.82 = 296.77 : x
  2. Step 2: Convert to fraction form
    461.52/690.82 = 296.77/x
  3. Step 3: Cross multiply
    461.52x = 690.82 × 296.77
  4. Step 4: Simplify right side
    461.52x = 205,014.65
  5. Step 5: Solve for x
    x = 205,014.65/461.52
  6. Step 6: Final answer
    x = 444.22

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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.