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Finding the Fourth Proportional to 343.24, 470.59 and 337.09

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Solution

The fourth proportional to 343.24, 470.59 and 337.09 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 470.59 = 337.09 : x
  2. Step 2: Convert to fraction form
    343.24/470.59 = 337.09/x
  3. Step 3: Cross multiply
    343.24x = 470.59 × 337.09
  4. Step 4: Simplify right side
    343.24x = 158,631.18
  5. Step 5: Solve for x
    x = 158,631.18/343.24
  6. Step 6: Final answer
    x = 462.16

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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.