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Finding the Fourth Proportional to 423.24, 584.64 and 319.11

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Solution

The fourth proportional to 423.24, 584.64 and 319.11 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 584.64 = 319.11 : x
  2. Step 2: Convert to fraction form
    423.24/584.64 = 319.11/x
  3. Step 3: Cross multiply
    423.24x = 584.64 × 319.11
  4. Step 4: Simplify right side
    423.24x = 186,564.47
  5. Step 5: Solve for x
    x = 186,564.47/423.24
  6. Step 6: Final answer
    x = 440.80

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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.