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Finding the Fourth Proportional to 567.25, 782.75 and 318.49

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Solution

The fourth proportional to 567.25, 782.75 and 318.49 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 782.75 = 318.49 : x
  2. Step 2: Convert to fraction form
    567.25/782.75 = 318.49/x
  3. Step 3: Cross multiply
    567.25x = 782.75 × 318.49
  4. Step 4: Simplify right side
    567.25x = 249,298.05
  5. Step 5: Solve for x
    x = 249,298.05/567.25
  6. Step 6: Final answer
    x = 439.49

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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.