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Finding the Fourth Proportional to 1,283.20, 1,924.49 and 358.79

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Solution

The fourth proportional to 1,283.20, 1,924.49 and 358.79 is: 538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.20 : 1,924.49 = 358.79 : x
  2. Step 2: Convert to fraction form
    1,283.20/1,924.49 = 358.79/x
  3. Step 3: Cross multiply
    1,283.20x = 1,924.49 × 358.79
  4. Step 4: Simplify right side
    1,283.20x = 690,476.35
  5. Step 5: Solve for x
    x = 690,476.35/1,283.20
  6. Step 6: Final answer
    x = 538.09

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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.