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Finding the Fourth Proportional to 610.50, 842.49 and 348.54

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Solution

The fourth proportional to 610.50, 842.49 and 348.54 is: 480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.50 : 842.49 = 348.54 : x
  2. Step 2: Convert to fraction form
    610.50/842.49 = 348.54/x
  3. Step 3: Cross multiply
    610.50x = 842.49 × 348.54
  4. Step 4: Simplify right side
    610.50x = 293,641.46
  5. Step 5: Solve for x
    x = 293,641.46/610.50
  6. Step 6: Final answer
    x = 480.99

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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.