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Finding the Fourth Proportional to 535.88, 739.35 and 349.53

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Solution

The fourth proportional to 535.88, 739.35 and 349.53 is: 482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 739.35 = 349.53 : x
  2. Step 2: Convert to fraction form
    535.88/739.35 = 349.53/x
  3. Step 3: Cross multiply
    535.88x = 739.35 × 349.53
  4. Step 4: Simplify right side
    535.88x = 258,425.01
  5. Step 5: Solve for x
    x = 258,425.01/535.88
  6. Step 6: Final answer
    x = 482.25

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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.