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Finding the Fourth Proportional to 328.66, 490.76 and 293.73

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Solution

The fourth proportional to 328.66, 490.76 and 293.73 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.66 : 490.76 = 293.73 : x
  2. Step 2: Convert to fraction form
    328.66/490.76 = 293.73/x
  3. Step 3: Cross multiply
    328.66x = 490.76 × 293.73
  4. Step 4: Simplify right side
    328.66x = 144,148.73
  5. Step 5: Solve for x
    x = 144,148.73/328.66
  6. Step 6: Final answer
    x = 438.60

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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.