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Finding the Fourth Proportional to 557.69, 769.80 and 358.78

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Solution

The fourth proportional to 557.69, 769.80 and 358.78 is: 495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.69 : 769.80 = 358.78 : x
  2. Step 2: Convert to fraction form
    557.69/769.80 = 358.78/x
  3. Step 3: Cross multiply
    557.69x = 769.80 × 358.78
  4. Step 4: Simplify right side
    557.69x = 276,189.71
  5. Step 5: Solve for x
    x = 276,189.71/557.69
  6. Step 6: Final answer
    x = 495.24

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