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Finding the Fourth Proportional to 319.20, 476.45 and 296.04

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Solution

The fourth proportional to 319.20, 476.45 and 296.04 is: 441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.20 : 476.45 = 296.04 : x
  2. Step 2: Convert to fraction form
    319.20/476.45 = 296.04/x
  3. Step 3: Cross multiply
    319.20x = 476.45 × 296.04
  4. Step 4: Simplify right side
    319.20x = 141,048.26
  5. Step 5: Solve for x
    x = 141,048.26/319.20
  6. Step 6: Final answer
    x = 441.88

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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.