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Finding the Fourth Proportional to 567.26, 782.78 and 318.59

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Solution

The fourth proportional to 567.26, 782.78 and 318.59 is: 439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.26 : 782.78 = 318.59 : x
  2. Step 2: Convert to fraction form
    567.26/782.78 = 318.59/x
  3. Step 3: Cross multiply
    567.26x = 782.78 × 318.59
  4. Step 4: Simplify right side
    567.26x = 249,380.37
  5. Step 5: Solve for x
    x = 249,380.37/567.26
  6. Step 6: Final answer
    x = 439.63

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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.