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Finding the Fourth Proportional to 535.80, 739.08 and 437.04

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Solution

The fourth proportional to 535.80, 739.08 and 437.04 is: 602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 739.08 = 437.04 : x
  2. Step 2: Convert to fraction form
    535.80/739.08 = 437.04/x
  3. Step 3: Cross multiply
    535.80x = 739.08 × 437.04
  4. Step 4: Simplify right side
    535.80x = 323,007.52
  5. Step 5: Solve for x
    x = 323,007.52/535.80
  6. Step 6: Final answer
    x = 602.85

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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.