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Finding the Fourth Proportional to 423.78, 584.24 and 313.26

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Solution

The fourth proportional to 423.78, 584.24 and 313.26 is: 431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.78 : 584.24 = 313.26 : x
  2. Step 2: Convert to fraction form
    423.78/584.24 = 313.26/x
  3. Step 3: Cross multiply
    423.78x = 584.24 × 313.26
  4. Step 4: Simplify right side
    423.78x = 183,019.02
  5. Step 5: Solve for x
    x = 183,019.02/423.78
  6. Step 6: Final answer
    x = 431.87

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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.