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Finding the Fourth Proportional to 557.29, 768.66 and 370.69

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Solution

The fourth proportional to 557.29, 768.66 and 370.69 is: 511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.29 : 768.66 = 370.69 : x
  2. Step 2: Convert to fraction form
    557.29/768.66 = 370.69/x
  3. Step 3: Cross multiply
    557.29x = 768.66 × 370.69
  4. Step 4: Simplify right side
    557.29x = 284,934.58
  5. Step 5: Solve for x
    x = 284,934.58/557.29
  6. Step 6: Final answer
    x = 511.29

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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.