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Finding the Fourth Proportional to 571.19, 851.18 and 523.40

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Solution

The fourth proportional to 571.19, 851.18 and 523.40 is: 779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.19 : 851.18 = 523.40 : x
  2. Step 2: Convert to fraction form
    571.19/851.18 = 523.40/x
  3. Step 3: Cross multiply
    571.19x = 851.18 × 523.40
  4. Step 4: Simplify right side
    571.19x = 445,500.74
  5. Step 5: Solve for x
    x = 445,500.74/571.19
  6. Step 6: Final answer
    x = 779.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.