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Finding the Fourth Proportional to 535.39, 738.63 and 360.85

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Solution

The fourth proportional to 535.39, 738.63 and 360.85 is: 497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.39 : 738.63 = 360.85 : x
  2. Step 2: Convert to fraction form
    535.39/738.63 = 360.85/x
  3. Step 3: Cross multiply
    535.39x = 738.63 × 360.85
  4. Step 4: Simplify right side
    535.39x = 266,534.64
  5. Step 5: Solve for x
    x = 266,534.64/535.39
  6. Step 6: Final answer
    x = 497.83

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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.