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Finding the Fourth Proportional to 566.41, 782.01 and 356.81

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Solution

The fourth proportional to 566.41, 782.01 and 356.81 is: 492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.41 : 782.01 = 356.81 : x
  2. Step 2: Convert to fraction form
    566.41/782.01 = 356.81/x
  3. Step 3: Cross multiply
    566.41x = 782.01 × 356.81
  4. Step 4: Simplify right side
    566.41x = 279,028.99
  5. Step 5: Solve for x
    x = 279,028.99/566.41
  6. Step 6: Final answer
    x = 492.63

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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.