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Finding the Fourth Proportional to 461.99, 637.64 and 275.49

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Solution

The fourth proportional to 461.99, 637.64 and 275.49 is: 380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.99 : 637.64 = 275.49 : x
  2. Step 2: Convert to fraction form
    461.99/637.64 = 275.49/x
  3. Step 3: Cross multiply
    461.99x = 637.64 × 275.49
  4. Step 4: Simplify right side
    461.99x = 175,663.44
  5. Step 5: Solve for x
    x = 175,663.44/461.99
  6. Step 6: Final answer
    x = 380.23

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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.