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Finding the Fourth Proportional to 567.36, 782.88 and 318.62

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Solution

The fourth proportional to 567.36, 782.88 and 318.62 is: 439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.36 : 782.88 = 318.62 : x
  2. Step 2: Convert to fraction form
    567.36/782.88 = 318.62/x
  3. Step 3: Cross multiply
    567.36x = 782.88 × 318.62
  4. Step 4: Simplify right side
    567.36x = 249,441.23
  5. Step 5: Solve for x
    x = 249,441.23/567.36
  6. Step 6: Final answer
    x = 439.65

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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.