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Finding the Fourth Proportional to 535.50, 738.96 and 388.32

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Solution

The fourth proportional to 535.50, 738.96 and 388.32 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 738.96 = 388.32 : x
  2. Step 2: Convert to fraction form
    535.50/738.96 = 388.32/x
  3. Step 3: Cross multiply
    535.50x = 738.96 × 388.32
  4. Step 4: Simplify right side
    535.50x = 286,952.95
  5. Step 5: Solve for x
    x = 286,952.95/535.50
  6. Step 6: Final answer
    x = 535.86

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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.