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Finding the Fourth Proportional to 497.84, 745.88 and 343.44

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Solution

The fourth proportional to 497.84, 745.88 and 343.44 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.84 : 745.88 = 343.44 : x
  2. Step 2: Convert to fraction form
    497.84/745.88 = 343.44/x
  3. Step 3: Cross multiply
    497.84x = 745.88 × 343.44
  4. Step 4: Simplify right side
    497.84x = 256,163.31
  5. Step 5: Solve for x
    x = 256,163.31/497.84
  6. Step 6: Final answer
    x = 514.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.