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Finding the Fourth Proportional to 557.94, 769.83 and 358.89

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Solution

The fourth proportional to 557.94, 769.83 and 358.89 is: 495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.94 : 769.83 = 358.89 : x
  2. Step 2: Convert to fraction form
    557.94/769.83 = 358.89/x
  3. Step 3: Cross multiply
    557.94x = 769.83 × 358.89
  4. Step 4: Simplify right side
    557.94x = 276,284.29
  5. Step 5: Solve for x
    x = 276,284.29/557.94
  6. Step 6: Final answer
    x = 495.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.