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Finding the Fourth Proportional to 565.66, 849.69 and 547.21

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Solution

The fourth proportional to 565.66, 849.69 and 547.21 is: 821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.66 : 849.69 = 547.21 : x
  2. Step 2: Convert to fraction form
    565.66/849.69 = 547.21/x
  3. Step 3: Cross multiply
    565.66x = 849.69 × 547.21
  4. Step 4: Simplify right side
    565.66x = 464,958.86
  5. Step 5: Solve for x
    x = 464,958.86/565.66
  6. Step 6: Final answer
    x = 821.98

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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.