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Finding the Fourth Proportional to 567.60, 849.60 and 549.60

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Solution

The fourth proportional to 567.60, 849.60 and 549.60 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 849.60 = 549.60 : x
  2. Step 2: Convert to fraction form
    567.60/849.60 = 549.60/x
  3. Step 3: Cross multiply
    567.60x = 849.60 × 549.60
  4. Step 4: Simplify right side
    567.60x = 466,940.16
  5. Step 5: Solve for x
    x = 466,940.16/567.60
  6. Step 6: Final answer
    x = 822.66

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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.