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Finding the Fourth Proportional to 298.32, 408.52 and 297.30

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Solution

The fourth proportional to 298.32, 408.52 and 297.30 is: 407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 408.52 = 297.30 : x
  2. Step 2: Convert to fraction form
    298.32/408.52 = 297.30/x
  3. Step 3: Cross multiply
    298.32x = 408.52 × 297.30
  4. Step 4: Simplify right side
    298.32x = 121,452.50
  5. Step 5: Solve for x
    x = 121,452.50/298.32
  6. Step 6: Final answer
    x = 407.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.