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Finding the Fourth Proportional to 535.40, 737.06 and 461.28

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Solution

The fourth proportional to 535.40, 737.06 and 461.28 is: 635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 737.06 = 461.28 : x
  2. Step 2: Convert to fraction form
    535.40/737.06 = 461.28/x
  3. Step 3: Cross multiply
    535.40x = 737.06 × 461.28
  4. Step 4: Simplify right side
    535.40x = 339,991.04
  5. Step 5: Solve for x
    x = 339,991.04/535.40
  6. Step 6: Final answer
    x = 635.02

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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.