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Finding the Fourth Proportional to 566.87, 782.07 and 356.97

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Solution

The fourth proportional to 566.87, 782.07 and 356.97 is: 492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.87 : 782.07 = 356.97 : x
  2. Step 2: Convert to fraction form
    566.87/782.07 = 356.97/x
  3. Step 3: Cross multiply
    566.87x = 782.07 × 356.97
  4. Step 4: Simplify right side
    566.87x = 279,175.53
  5. Step 5: Solve for x
    x = 279,175.53/566.87
  6. Step 6: Final answer
    x = 492.49

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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.