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Finding the Fourth Proportional to 289.16, 398.58 and 242.44

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Solution

The fourth proportional to 289.16, 398.58 and 242.44 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 398.58 = 242.44 : x
  2. Step 2: Convert to fraction form
    289.16/398.58 = 242.44/x
  3. Step 3: Cross multiply
    289.16x = 398.58 × 242.44
  4. Step 4: Simplify right side
    289.16x = 96,631.74
  5. Step 5: Solve for x
    x = 96,631.74/289.16
  6. Step 6: Final answer
    x = 334.18

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