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Finding the Fourth Proportional to 905.12, 1,357.74 and 288.87

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Solution

The fourth proportional to 905.12, 1,357.74 and 288.87 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.12 : 1,357.74 = 288.87 : x
  2. Step 2: Convert to fraction form
    905.12/1,357.74 = 288.87/x
  3. Step 3: Cross multiply
    905.12x = 1,357.74 × 288.87
  4. Step 4: Simplify right side
    905.12x = 392,210.35
  5. Step 5: Solve for x
    x = 392,210.35/905.12
  6. Step 6: Final answer
    x = 433.33

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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.