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Finding the Fourth Proportional to 557.96, 769.91 and 358.70

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Solution

The fourth proportional to 557.96, 769.91 and 358.70 is: 494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 769.91 = 358.70 : x
  2. Step 2: Convert to fraction form
    557.96/769.91 = 358.70/x
  3. Step 3: Cross multiply
    557.96x = 769.91 × 358.70
  4. Step 4: Simplify right side
    557.96x = 276,161.07
  5. Step 5: Solve for x
    x = 276,161.07/557.96
  6. Step 6: Final answer
    x = 494.95

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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.