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Finding the Fourth Proportional to 997.75, 1,497.30 and 348.48

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Solution

The fourth proportional to 997.75, 1,497.30 and 348.48 is: 522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.75 : 1,497.30 = 348.48 : x
  2. Step 2: Convert to fraction form
    997.75/1,497.30 = 348.48/x
  3. Step 3: Cross multiply
    997.75x = 1,497.30 × 348.48
  4. Step 4: Simplify right side
    997.75x = 521,779.98
  5. Step 5: Solve for x
    x = 521,779.98/997.75
  6. Step 6: Final answer
    x = 522.96

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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.