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Finding the Fourth Proportional to 535.14, 736.71 and 461.04

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Solution

The fourth proportional to 535.14, 736.71 and 461.04 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 736.71 = 461.04 : x
  2. Step 2: Convert to fraction form
    535.14/736.71 = 461.04/x
  3. Step 3: Cross multiply
    535.14x = 736.71 × 461.04
  4. Step 4: Simplify right side
    535.14x = 339,652.78
  5. Step 5: Solve for x
    x = 339,652.78/535.14
  6. Step 6: Final answer
    x = 634.70

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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.