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Finding the Fourth Proportional to 289.60, 398.88 and 234.24

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Solution

The fourth proportional to 289.60, 398.88 and 234.24 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.60 : 398.88 = 234.24 : x
  2. Step 2: Convert to fraction form
    289.60/398.88 = 234.24/x
  3. Step 3: Cross multiply
    289.60x = 398.88 × 234.24
  4. Step 4: Simplify right side
    289.60x = 93,433.65
  5. Step 5: Solve for x
    x = 93,433.65/289.60
  6. Step 6: Final answer
    x = 322.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.