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Finding the Fourth Proportional to 297.72, 410.58 and 251.56

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Solution

The fourth proportional to 297.72, 410.58 and 251.56 is: 346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.72 : 410.58 = 251.56 : x
  2. Step 2: Convert to fraction form
    297.72/410.58 = 251.56/x
  3. Step 3: Cross multiply
    297.72x = 410.58 × 251.56
  4. Step 4: Simplify right side
    297.72x = 103,285.50
  5. Step 5: Solve for x
    x = 103,285.50/297.72
  6. Step 6: Final answer
    x = 346.92

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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.