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Finding the Fourth Proportional to 330.48, 494.64 and 232.74

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Solution

The fourth proportional to 330.48, 494.64 and 232.74 is: 348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 494.64 = 232.74 : x
  2. Step 2: Convert to fraction form
    330.48/494.64 = 232.74/x
  3. Step 3: Cross multiply
    330.48x = 494.64 × 232.74
  4. Step 4: Simplify right side
    330.48x = 115,122.51
  5. Step 5: Solve for x
    x = 115,122.51/330.48
  6. Step 6: Final answer
    x = 348.35

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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.