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Finding the Fourth Proportional to 423.58, 584.34 and 248.83

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Solution

The fourth proportional to 423.58, 584.34 and 248.83 is: 343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.58 : 584.34 = 248.83 : x
  2. Step 2: Convert to fraction form
    423.58/584.34 = 248.83/x
  3. Step 3: Cross multiply
    423.58x = 584.34 × 248.83
  4. Step 4: Simplify right side
    423.58x = 145,401.32
  5. Step 5: Solve for x
    x = 145,401.32/423.58
  6. Step 6: Final answer
    x = 343.27

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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.