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Finding the Fourth Proportional to 566.87, 782.49 and 356.98

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Solution

The fourth proportional to 566.87, 782.49 and 356.98 is: 492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.87 : 782.49 = 356.98 : x
  2. Step 2: Convert to fraction form
    566.87/782.49 = 356.98/x
  3. Step 3: Cross multiply
    566.87x = 782.49 × 356.98
  4. Step 4: Simplify right side
    566.87x = 279,333.28
  5. Step 5: Solve for x
    x = 279,333.28/566.87
  6. Step 6: Final answer
    x = 492.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.