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Finding the Fourth Proportional to 589.91, 814.10 and 341.24

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Solution

The fourth proportional to 589.91, 814.10 and 341.24 is: 470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.91 : 814.10 = 341.24 : x
  2. Step 2: Convert to fraction form
    589.91/814.10 = 341.24/x
  3. Step 3: Cross multiply
    589.91x = 814.10 × 341.24
  4. Step 4: Simplify right side
    589.91x = 277,803.48
  5. Step 5: Solve for x
    x = 277,803.48/589.91
  6. Step 6: Final answer
    x = 470.93

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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.