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Finding the Fourth Proportional to 567.11, 782.65 and 318.45

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Solution

The fourth proportional to 567.11, 782.65 and 318.45 is: 439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.11 : 782.65 = 318.45 : x
  2. Step 2: Convert to fraction form
    567.11/782.65 = 318.45/x
  3. Step 3: Cross multiply
    567.11x = 782.65 × 318.45
  4. Step 4: Simplify right side
    567.11x = 249,234.72
  5. Step 5: Solve for x
    x = 249,234.72/567.11
  6. Step 6: Final answer
    x = 439.48

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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.