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Finding the Fourth Proportional to 461.93, 637.49 and 296.53

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Solution

The fourth proportional to 461.93, 637.49 and 296.53 is: 409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 637.49 = 296.53 : x
  2. Step 2: Convert to fraction form
    461.93/637.49 = 296.53/x
  3. Step 3: Cross multiply
    461.93x = 637.49 × 296.53
  4. Step 4: Simplify right side
    461.93x = 189,034.06
  5. Step 5: Solve for x
    x = 189,034.06/461.93
  6. Step 6: Final answer
    x = 409.23

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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.