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Finding the Fourth Proportional to 461.98, 637.44 and 294.00

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Solution

The fourth proportional to 461.98, 637.44 and 294.00 is: 405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.98 : 637.44 = 294.00 : x
  2. Step 2: Convert to fraction form
    461.98/637.44 = 294.00/x
  3. Step 3: Cross multiply
    461.98x = 637.44 × 294.00
  4. Step 4: Simplify right side
    461.98x = 187,402.70
  5. Step 5: Solve for x
    x = 187,402.70/461.98
  6. Step 6: Final answer
    x = 405.65

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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.