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Finding the Fourth Proportional to 323.70, 482.34 and 291.42

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Solution

The fourth proportional to 323.70, 482.34 and 291.42 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.70 : 482.34 = 291.42 : x
  2. Step 2: Convert to fraction form
    323.70/482.34 = 291.42/x
  3. Step 3: Cross multiply
    323.70x = 482.34 × 291.42
  4. Step 4: Simplify right side
    323.70x = 140,563.52
  5. Step 5: Solve for x
    x = 140,563.52/323.70
  6. Step 6: Final answer
    x = 434.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.