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Finding the Fourth Proportional to 423.61, 584.61 and 248.96

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Solution

The fourth proportional to 423.61, 584.61 and 248.96 is: 343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.61 : 584.61 = 248.96 : x
  2. Step 2: Convert to fraction form
    423.61/584.61 = 248.96/x
  3. Step 3: Cross multiply
    423.61x = 584.61 × 248.96
  4. Step 4: Simplify right side
    423.61x = 145,544.51
  5. Step 5: Solve for x
    x = 145,544.51/423.61
  6. Step 6: Final answer
    x = 343.58

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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.