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Finding the Fourth Proportional to 423.22, 583.77 and 248.44

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Solution

The fourth proportional to 423.22, 583.77 and 248.44 is: 342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.22 : 583.77 = 248.44 : x
  2. Step 2: Convert to fraction form
    423.22/583.77 = 248.44/x
  3. Step 3: Cross multiply
    423.22x = 583.77 × 248.44
  4. Step 4: Simplify right side
    423.22x = 145,031.82
  5. Step 5: Solve for x
    x = 145,031.82/423.22
  6. Step 6: Final answer
    x = 342.69

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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.