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Finding the Fourth Proportional to 289.50, 431.80 and 280.86

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Solution

The fourth proportional to 289.50, 431.80 and 280.86 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 431.80 = 280.86 : x
  2. Step 2: Convert to fraction form
    289.50/431.80 = 280.86/x
  3. Step 3: Cross multiply
    289.50x = 431.80 × 280.86
  4. Step 4: Simplify right side
    289.50x = 121,275.35
  5. Step 5: Solve for x
    x = 121,275.35/289.50
  6. Step 6: Final answer
    x = 418.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.