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Finding the Fourth Proportional to 566.88, 782.22 and 318.16

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Solution

The fourth proportional to 566.88, 782.22 and 318.16 is: 439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.88 : 782.22 = 318.16 : x
  2. Step 2: Convert to fraction form
    566.88/782.22 = 318.16/x
  3. Step 3: Cross multiply
    566.88x = 782.22 × 318.16
  4. Step 4: Simplify right side
    566.88x = 248,871.12
  5. Step 5: Solve for x
    x = 248,871.12/566.88
  6. Step 6: Final answer
    x = 439.02

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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.