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Finding the Fourth Proportional to 600.42, 894.94 and 571.17

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Solution

The fourth proportional to 600.42, 894.94 and 571.17 is: 851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.42 : 894.94 = 571.17 : x
  2. Step 2: Convert to fraction form
    600.42/894.94 = 571.17/x
  3. Step 3: Cross multiply
    600.42x = 894.94 × 571.17
  4. Step 4: Simplify right side
    600.42x = 511,162.88
  5. Step 5: Solve for x
    x = 511,162.88/600.42
  6. Step 6: Final answer
    x = 851.34

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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.