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Finding the Fourth Proportional to 423.88, 584.49 and 319.12

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Solution

The fourth proportional to 423.88, 584.49 and 319.12 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 584.49 = 319.12 : x
  2. Step 2: Convert to fraction form
    423.88/584.49 = 319.12/x
  3. Step 3: Cross multiply
    423.88x = 584.49 × 319.12
  4. Step 4: Simplify right side
    423.88x = 186,522.45
  5. Step 5: Solve for x
    x = 186,522.45/423.88
  6. Step 6: Final answer
    x = 440.04

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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.