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Finding the Fourth Proportional to 337.20, 465.62 and 297.76

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Solution

The fourth proportional to 337.20, 465.62 and 297.76 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.20 : 465.62 = 297.76 : x
  2. Step 2: Convert to fraction form
    337.20/465.62 = 297.76/x
  3. Step 3: Cross multiply
    337.20x = 465.62 × 297.76
  4. Step 4: Simplify right side
    337.20x = 138,643.01
  5. Step 5: Solve for x
    x = 138,643.01/337.20
  6. Step 6: Final answer
    x = 411.16

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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.