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Finding the Fourth Proportional to 297.52, 410.64 and 220.08

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Solution

The fourth proportional to 297.52, 410.64 and 220.08 is: 303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.52 : 410.64 = 220.08 : x
  2. Step 2: Convert to fraction form
    297.52/410.64 = 220.08/x
  3. Step 3: Cross multiply
    297.52x = 410.64 × 220.08
  4. Step 4: Simplify right side
    297.52x = 90,373.65
  5. Step 5: Solve for x
    x = 90,373.65/297.52
  6. Step 6: Final answer
    x = 303.76

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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.