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Finding the Fourth Proportional to 296.32, 442.40 and 268.96

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Solution

The fourth proportional to 296.32, 442.40 and 268.96 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 442.40 = 268.96 : x
  2. Step 2: Convert to fraction form
    296.32/442.40 = 268.96/x
  3. Step 3: Cross multiply
    296.32x = 442.40 × 268.96
  4. Step 4: Simplify right side
    296.32x = 118,987.90
  5. Step 5: Solve for x
    x = 118,987.90/296.32
  6. Step 6: Final answer
    x = 401.55

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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.