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Finding the Fourth Proportional to 328.38, 452.95 and 263.04

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Solution

The fourth proportional to 328.38, 452.95 and 263.04 is: 362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.38 : 452.95 = 263.04 : x
  2. Step 2: Convert to fraction form
    328.38/452.95 = 263.04/x
  3. Step 3: Cross multiply
    328.38x = 452.95 × 263.04
  4. Step 4: Simplify right side
    328.38x = 119,143.97
  5. Step 5: Solve for x
    x = 119,143.97/328.38
  6. Step 6: Final answer
    x = 362.82

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Why These Related Problems?

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