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Finding the Fourth Proportional to 337.66, 464.85 and 291.65

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Solution

The fourth proportional to 337.66, 464.85 and 291.65 is: 401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.66 : 464.85 = 291.65 : x
  2. Step 2: Convert to fraction form
    337.66/464.85 = 291.65/x
  3. Step 3: Cross multiply
    337.66x = 464.85 × 291.65
  4. Step 4: Simplify right side
    337.66x = 135,571.18
  5. Step 5: Solve for x
    x = 135,571.18/337.66
  6. Step 6: Final answer
    x = 401.51

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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.