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Finding the Fourth Proportional to 289.80, 398.25 and 261

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Solution

The fourth proportional to 289.80, 398.25 and 261 is: 358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.80 : 398.25 = 261 : x
  2. Step 2: Convert to fraction form
    289.80/398.25 = 261/x
  3. Step 3: Cross multiply
    289.80x = 398.25 × 261
  4. Step 4: Simplify right side
    289.80x = 103,943.25
  5. Step 5: Solve for x
    x = 103,943.25/289.80
  6. Step 6: Final answer
    x = 358.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.