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Finding the Fourth Proportional to 610.16, 842.01 and 348.14

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Solution

The fourth proportional to 610.16, 842.01 and 348.14 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 842.01 = 348.14 : x
  2. Step 2: Convert to fraction form
    610.16/842.01 = 348.14/x
  3. Step 3: Cross multiply
    610.16x = 842.01 × 348.14
  4. Step 4: Simplify right side
    610.16x = 293,137.36
  5. Step 5: Solve for x
    x = 293,137.36/610.16
  6. Step 6: Final answer
    x = 480.43

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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.