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Finding the Fourth Proportional to 535.88, 738.95 and 349.53

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Solution

The fourth proportional to 535.88, 738.95 and 349.53 is: 481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 738.95 = 349.53 : x
  2. Step 2: Convert to fraction form
    535.88/738.95 = 349.53/x
  3. Step 3: Cross multiply
    535.88x = 738.95 × 349.53
  4. Step 4: Simplify right side
    535.88x = 258,283.45
  5. Step 5: Solve for x
    x = 258,283.45/535.88
  6. Step 6: Final answer
    x = 481.98

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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.