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Finding the Fourth Proportional to 905.09, 1,357.68 and 384.57

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Solution

The fourth proportional to 905.09, 1,357.68 and 384.57 is: 576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.09 : 1,357.68 = 384.57 : x
  2. Step 2: Convert to fraction form
    905.09/1,357.68 = 384.57/x
  3. Step 3: Cross multiply
    905.09x = 1,357.68 × 384.57
  4. Step 4: Simplify right side
    905.09x = 522,123.00
  5. Step 5: Solve for x
    x = 522,123.00/905.09
  6. Step 6: Final answer
    x = 576.88

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Why These Related Problems?

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