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Finding the Fourth Proportional to 461.47, 690.69 and 279.22

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Solution

The fourth proportional to 461.47, 690.69 and 279.22 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.47 : 690.69 = 279.22 : x
  2. Step 2: Convert to fraction form
    461.47/690.69 = 279.22/x
  3. Step 3: Cross multiply
    461.47x = 690.69 × 279.22
  4. Step 4: Simplify right side
    461.47x = 192,854.46
  5. Step 5: Solve for x
    x = 192,854.46/461.47
  6. Step 6: Final answer
    x = 417.91

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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.