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Finding the Fourth Proportional to 906.19, 1,358.88 and 289.78

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Solution

The fourth proportional to 906.19, 1,358.88 and 289.78 is: 434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 1,358.88 = 289.78 : x
  2. Step 2: Convert to fraction form
    906.19/1,358.88 = 289.78/x
  3. Step 3: Cross multiply
    906.19x = 1,358.88 × 289.78
  4. Step 4: Simplify right side
    906.19x = 393,776.25
  5. Step 5: Solve for x
    x = 393,776.25/906.19
  6. Step 6: Final answer
    x = 434.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.