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Finding the Fourth Proportional to 296.39, 442.56 and 234.83

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Solution

The fourth proportional to 296.39, 442.56 and 234.83 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.39 : 442.56 = 234.83 : x
  2. Step 2: Convert to fraction form
    296.39/442.56 = 234.83/x
  3. Step 3: Cross multiply
    296.39x = 442.56 × 234.83
  4. Step 4: Simplify right side
    296.39x = 103,924.15
  5. Step 5: Solve for x
    x = 103,924.15/296.39
  6. Step 6: Final answer
    x = 350.64

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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.