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Finding the Fourth Proportional to 566.96, 782.44 and 318.32

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Solution

The fourth proportional to 566.96, 782.44 and 318.32 is: 439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.96 : 782.44 = 318.32 : x
  2. Step 2: Convert to fraction form
    566.96/782.44 = 318.32/x
  3. Step 3: Cross multiply
    566.96x = 782.44 × 318.32
  4. Step 4: Simplify right side
    566.96x = 249,067.46
  5. Step 5: Solve for x
    x = 249,067.46/566.96
  6. Step 6: Final answer
    x = 439.30

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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.