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Finding the Fourth Proportional to 557.16, 769.01 and 370.66

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Solution

The fourth proportional to 557.16, 769.01 and 370.66 is: 511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 769.01 = 370.66 : x
  2. Step 2: Convert to fraction form
    557.16/769.01 = 370.66/x
  3. Step 3: Cross multiply
    557.16x = 769.01 × 370.66
  4. Step 4: Simplify right side
    557.16x = 285,036.72
  5. Step 5: Solve for x
    x = 285,036.72/557.16
  6. Step 6: Final answer
    x = 511.59

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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.