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Finding the Fourth Proportional to 566.81, 782.20 and 318.14

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Solution

The fourth proportional to 566.81, 782.20 and 318.14 is: 439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.81 : 782.20 = 318.14 : x
  2. Step 2: Convert to fraction form
    566.81/782.20 = 318.14/x
  3. Step 3: Cross multiply
    566.81x = 782.20 × 318.14
  4. Step 4: Simplify right side
    566.81x = 248,849.11
  5. Step 5: Solve for x
    x = 248,849.11/566.81
  6. Step 6: Final answer
    x = 439.03

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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.