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Finding the Fourth Proportional to 610.52, 842.40 and 348.53

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Solution

The fourth proportional to 610.52, 842.40 and 348.53 is: 480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.52 : 842.40 = 348.53 : x
  2. Step 2: Convert to fraction form
    610.52/842.40 = 348.53/x
  3. Step 3: Cross multiply
    610.52x = 842.40 × 348.53
  4. Step 4: Simplify right side
    610.52x = 293,601.67
  5. Step 5: Solve for x
    x = 293,601.67/610.52
  6. Step 6: Final answer
    x = 480.90

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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.