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Finding the Fourth Proportional to 461.97, 693.36 and 245.70

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Solution

The fourth proportional to 461.97, 693.36 and 245.70 is: 368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.97 : 693.36 = 245.70 : x
  2. Step 2: Convert to fraction form
    461.97/693.36 = 245.70/x
  3. Step 3: Cross multiply
    461.97x = 693.36 × 245.70
  4. Step 4: Simplify right side
    461.97x = 170,358.55
  5. Step 5: Solve for x
    x = 170,358.55/461.97
  6. Step 6: Final answer
    x = 368.77

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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.