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Finding the Fourth Proportional to 296.28, 441.93 and 289.80

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Solution

The fourth proportional to 296.28, 441.93 and 289.80 is: 432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.28 : 441.93 = 289.80 : x
  2. Step 2: Convert to fraction form
    296.28/441.93 = 289.80/x
  3. Step 3: Cross multiply
    296.28x = 441.93 × 289.80
  4. Step 4: Simplify right side
    296.28x = 128,071.31
  5. Step 5: Solve for x
    x = 128,071.31/296.28
  6. Step 6: Final answer
    x = 432.26

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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.