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Finding the Fourth Proportional to 567.24, 782.85 and 318.63

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Solution

The fourth proportional to 567.24, 782.85 and 318.63 is: 439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 782.85 = 318.63 : x
  2. Step 2: Convert to fraction form
    567.24/782.85 = 318.63/x
  3. Step 3: Cross multiply
    567.24x = 782.85 × 318.63
  4. Step 4: Simplify right side
    567.24x = 249,439.50
  5. Step 5: Solve for x
    x = 249,439.50/567.24
  6. Step 6: Final answer
    x = 439.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.