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Finding the Fourth Proportional to 328.97, 491.18 and 287.96

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Solution

The fourth proportional to 328.97, 491.18 and 287.96 is: 429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.97 : 491.18 = 287.96 : x
  2. Step 2: Convert to fraction form
    328.97/491.18 = 287.96/x
  3. Step 3: Cross multiply
    328.97x = 491.18 × 287.96
  4. Step 4: Simplify right side
    328.97x = 141,440.19
  5. Step 5: Solve for x
    x = 141,440.19/328.97
  6. Step 6: Final answer
    x = 429.95

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Why These Related Problems?

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