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Finding the Fourth Proportional to 332, 494.70 and 295.65

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Solution

The fourth proportional to 332, 494.70 and 295.65 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332 : 494.70 = 295.65 : x
  2. Step 2: Convert to fraction form
    332/494.70 = 295.65/x
  3. Step 3: Cross multiply
    332x = 494.70 × 295.65
  4. Step 4: Simplify right side
    332x = 146,258.06
  5. Step 5: Solve for x
    x = 146,258.06/332
  6. Step 6: Final answer
    x = 440.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.