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Finding the Fourth Proportional to 569.54, 786.14 and 356.97

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Solution

The fourth proportional to 569.54, 786.14 and 356.97 is: 492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.54 : 786.14 = 356.97 : x
  2. Step 2: Convert to fraction form
    569.54/786.14 = 356.97/x
  3. Step 3: Cross multiply
    569.54x = 786.14 × 356.97
  4. Step 4: Simplify right side
    569.54x = 280,626.61
  5. Step 5: Solve for x
    x = 280,626.61/569.54
  6. Step 6: Final answer
    x = 492.73

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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.