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Finding the Fourth Proportional to 328.19, 453.24 and 293.85

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Solution

The fourth proportional to 328.19, 453.24 and 293.85 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.19 : 453.24 = 293.85 : x
  2. Step 2: Convert to fraction form
    328.19/453.24 = 293.85/x
  3. Step 3: Cross multiply
    328.19x = 453.24 × 293.85
  4. Step 4: Simplify right side
    328.19x = 133,184.57
  5. Step 5: Solve for x
    x = 133,184.57/328.19
  6. Step 6: Final answer
    x = 405.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.