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Finding the Fourth Proportional to 565.89, 849.51 and 537.18

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Solution

The fourth proportional to 565.89, 849.51 and 537.18 is: 806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 849.51 = 537.18 : x
  2. Step 2: Convert to fraction form
    565.89/849.51 = 537.18/x
  3. Step 3: Cross multiply
    565.89x = 849.51 × 537.18
  4. Step 4: Simplify right side
    565.89x = 456,342.89
  5. Step 5: Solve for x
    x = 456,342.89/565.89
  6. Step 6: Final answer
    x = 806.42

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Why These Related Problems?

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