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Finding the Fourth Proportional to 461.83, 637.76 and 296.44

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Solution

The fourth proportional to 461.83, 637.76 and 296.44 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.83 : 637.76 = 296.44 : x
  2. Step 2: Convert to fraction form
    461.83/637.76 = 296.44/x
  3. Step 3: Cross multiply
    461.83x = 637.76 × 296.44
  4. Step 4: Simplify right side
    461.83x = 189,057.57
  5. Step 5: Solve for x
    x = 189,057.57/461.83
  6. Step 6: Final answer
    x = 409.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.