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Finding the Fourth Proportional to 296.01, 441.72 and 281.43

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Solution

The fourth proportional to 296.01, 441.72 and 281.43 is: 419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.01 : 441.72 = 281.43 : x
  2. Step 2: Convert to fraction form
    296.01/441.72 = 281.43/x
  3. Step 3: Cross multiply
    296.01x = 441.72 × 281.43
  4. Step 4: Simplify right side
    296.01x = 124,313.26
  5. Step 5: Solve for x
    x = 124,313.26/296.01
  6. Step 6: Final answer
    x = 419.96

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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.