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Finding the Fourth Proportional to 289.71, 436.22 and 250.08

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Solution

The fourth proportional to 289.71, 436.22 and 250.08 is: 376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 436.22 = 250.08 : x
  2. Step 2: Convert to fraction form
    289.71/436.22 = 250.08/x
  3. Step 3: Cross multiply
    289.71x = 436.22 × 250.08
  4. Step 4: Simplify right side
    289.71x = 109,088.65
  5. Step 5: Solve for x
    x = 109,088.65/289.71
  6. Step 6: Final answer
    x = 376.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.