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Finding the Fourth Proportional to 289.40, 435.83 and 260.85

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Solution

The fourth proportional to 289.40, 435.83 and 260.85 is: 392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 435.83 = 260.85 : x
  2. Step 2: Convert to fraction form
    289.40/435.83 = 260.85/x
  3. Step 3: Cross multiply
    289.40x = 435.83 × 260.85
  4. Step 4: Simplify right side
    289.40x = 113,684.95
  5. Step 5: Solve for x
    x = 113,684.95/289.40
  6. Step 6: Final answer
    x = 392.83

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