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Finding the Fourth Proportional to 610.09, 841.92 and 330.33

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Solution

The fourth proportional to 610.09, 841.92 and 330.33 is: 455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.09 : 841.92 = 330.33 : x
  2. Step 2: Convert to fraction form
    610.09/841.92 = 330.33/x
  3. Step 3: Cross multiply
    610.09x = 841.92 × 330.33
  4. Step 4: Simplify right side
    610.09x = 278,108.11
  5. Step 5: Solve for x
    x = 278,108.11/610.09
  6. Step 6: Final answer
    x = 455.85

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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.