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Finding the Fourth Proportional to 566.64, 782.02 and 333.76

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Solution

The fourth proportional to 566.64, 782.02 and 333.76 is: 460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.64 : 782.02 = 333.76 : x
  2. Step 2: Convert to fraction form
    566.64/782.02 = 333.76/x
  3. Step 3: Cross multiply
    566.64x = 782.02 × 333.76
  4. Step 4: Simplify right side
    566.64x = 261,007.00
  5. Step 5: Solve for x
    x = 261,007.00/566.64
  6. Step 6: Final answer
    x = 460.62

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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.