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Finding the Fourth Proportional to 566.82, 782.21 and 318.16

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Solution

The fourth proportional to 566.82, 782.21 and 318.16 is: 439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 782.21 = 318.16 : x
  2. Step 2: Convert to fraction form
    566.82/782.21 = 318.16/x
  3. Step 3: Cross multiply
    566.82x = 782.21 × 318.16
  4. Step 4: Simplify right side
    566.82x = 248,867.93
  5. Step 5: Solve for x
    x = 248,867.93/566.82
  6. Step 6: Final answer
    x = 439.06

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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.