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Finding the Fourth Proportional to 296.82, 445.54 and 285.89

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Solution

The fourth proportional to 296.82, 445.54 and 285.89 is: 429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.82 : 445.54 = 285.89 : x
  2. Step 2: Convert to fraction form
    296.82/445.54 = 285.89/x
  3. Step 3: Cross multiply
    296.82x = 445.54 × 285.89
  4. Step 4: Simplify right side
    296.82x = 127,375.43
  5. Step 5: Solve for x
    x = 127,375.43/296.82
  6. Step 6: Final answer
    x = 429.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.