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Finding the Fourth Proportional to 535.20, 738.36 and 395.64

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Solution

The fourth proportional to 535.20, 738.36 and 395.64 is: 545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 738.36 = 395.64 : x
  2. Step 2: Convert to fraction form
    535.20/738.36 = 395.64/x
  3. Step 3: Cross multiply
    535.20x = 738.36 × 395.64
  4. Step 4: Simplify right side
    535.20x = 292,124.75
  5. Step 5: Solve for x
    x = 292,124.75/535.20
  6. Step 6: Final answer
    x = 545.82

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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.