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Finding the Fourth Proportional to 567.24, 849.25 and 430.84

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Solution

The fourth proportional to 567.24, 849.25 and 430.84 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 849.25 = 430.84 : x
  2. Step 2: Convert to fraction form
    567.24/849.25 = 430.84/x
  3. Step 3: Cross multiply
    567.24x = 849.25 × 430.84
  4. Step 4: Simplify right side
    567.24x = 365,890.87
  5. Step 5: Solve for x
    x = 365,890.87/567.24
  6. Step 6: Final answer
    x = 645.04

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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.