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Finding the Fourth Proportional to 610.30, 842.16 and 348.34

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Solution

The fourth proportional to 610.30, 842.16 and 348.34 is: 480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.30 : 842.16 = 348.34 : x
  2. Step 2: Convert to fraction form
    610.30/842.16 = 348.34/x
  3. Step 3: Cross multiply
    610.30x = 842.16 × 348.34
  4. Step 4: Simplify right side
    610.30x = 293,358.01
  5. Step 5: Solve for x
    x = 293,358.01/610.30
  6. Step 6: Final answer
    x = 480.68

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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.