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Finding the Fourth Proportional to 461.02, 690.72 and 244.12

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Solution

The fourth proportional to 461.02, 690.72 and 244.12 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.02 : 690.72 = 244.12 : x
  2. Step 2: Convert to fraction form
    461.02/690.72 = 244.12/x
  3. Step 3: Cross multiply
    461.02x = 690.72 × 244.12
  4. Step 4: Simplify right side
    461.02x = 168,618.57
  5. Step 5: Solve for x
    x = 168,618.57/461.02
  6. Step 6: Final answer
    x = 365.75

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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.