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Finding the Fourth Proportional to 294.05, 438.33 and 289.60

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Solution

The fourth proportional to 294.05, 438.33 and 289.60 is: 431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.05 : 438.33 = 289.60 : x
  2. Step 2: Convert to fraction form
    294.05/438.33 = 289.60/x
  3. Step 3: Cross multiply
    294.05x = 438.33 × 289.60
  4. Step 4: Simplify right side
    294.05x = 126,940.37
  5. Step 5: Solve for x
    x = 126,940.37/294.05
  6. Step 6: Final answer
    x = 431.70

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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.