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Finding the Fourth Proportional to 330.00, 494.66 and 238.47

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Solution

The fourth proportional to 330.00, 494.66 and 238.47 is: 357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.00 : 494.66 = 238.47 : x
  2. Step 2: Convert to fraction form
    330.00/494.66 = 238.47/x
  3. Step 3: Cross multiply
    330.00x = 494.66 × 238.47
  4. Step 4: Simplify right side
    330.00x = 117,957.90
  5. Step 5: Solve for x
    x = 117,957.90/330.00
  6. Step 6: Final answer
    x = 357.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.