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Finding the Fourth Proportional to 289.85, 432.36 and 262.17

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Solution

The fourth proportional to 289.85, 432.36 and 262.17 is: 391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 432.36 = 262.17 : x
  2. Step 2: Convert to fraction form
    289.85/432.36 = 262.17/x
  3. Step 3: Cross multiply
    289.85x = 432.36 × 262.17
  4. Step 4: Simplify right side
    289.85x = 113,351.82
  5. Step 5: Solve for x
    x = 113,351.82/289.85
  6. Step 6: Final answer
    x = 391.07

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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.