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Finding the Fourth Proportional to 289.44, 436.20 and 286.92

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Solution

The fourth proportional to 289.44, 436.20 and 286.92 is: 432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 436.20 = 286.92 : x
  2. Step 2: Convert to fraction form
    289.44/436.20 = 286.92/x
  3. Step 3: Cross multiply
    289.44x = 436.20 × 286.92
  4. Step 4: Simplify right side
    289.44x = 125,154.50
  5. Step 5: Solve for x
    x = 125,154.50/289.44
  6. Step 6: Final answer
    x = 432.40

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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.