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Finding the Fourth Proportional to 567.99, 850.16 and 293.71

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Solution

The fourth proportional to 567.99, 850.16 and 293.71 is: 439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.99 : 850.16 = 293.71 : x
  2. Step 2: Convert to fraction form
    567.99/850.16 = 293.71/x
  3. Step 3: Cross multiply
    567.99x = 850.16 × 293.71
  4. Step 4: Simplify right side
    567.99x = 249,700.49
  5. Step 5: Solve for x
    x = 249,700.49/567.99
  6. Step 6: Final answer
    x = 439.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.