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Finding the Fourth Proportional to 566.81, 782.00 and 318.10

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Solution

The fourth proportional to 566.81, 782.00 and 318.10 is: 438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.81 : 782.00 = 318.10 : x
  2. Step 2: Convert to fraction form
    566.81/782.00 = 318.10/x
  3. Step 3: Cross multiply
    566.81x = 782.00 × 318.10
  4. Step 4: Simplify right side
    566.81x = 248,751.09
  5. Step 5: Solve for x
    x = 248,751.09/566.81
  6. Step 6: Final answer
    x = 438.86

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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.