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Finding the Fourth Proportional to 289.16, 431.20 and 277.88

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Solution

The fourth proportional to 289.16, 431.20 and 277.88 is: 414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.16 : 431.20 = 277.88 : x
  2. Step 2: Convert to fraction form
    289.16/431.20 = 277.88/x
  3. Step 3: Cross multiply
    289.16x = 431.20 × 277.88
  4. Step 4: Simplify right side
    289.16x = 119,821.86
  5. Step 5: Solve for x
    x = 119,821.86/289.16
  6. Step 6: Final answer
    x = 414.38

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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.