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Finding the Fourth Proportional to 330.51, 494.73 and 295.72

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Solution

The fourth proportional to 330.51, 494.73 and 295.72 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.51 : 494.73 = 295.72 : x
  2. Step 2: Convert to fraction form
    330.51/494.73 = 295.72/x
  3. Step 3: Cross multiply
    330.51x = 494.73 × 295.72
  4. Step 4: Simplify right side
    330.51x = 146,301.56
  5. Step 5: Solve for x
    x = 146,301.56/330.51
  6. Step 6: Final answer
    x = 442.65

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