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Finding the Fourth Proportional to 565.02, 849.15 and 359.69

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Solution

The fourth proportional to 565.02, 849.15 and 359.69 is: 540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.02 : 849.15 = 359.69 : x
  2. Step 2: Convert to fraction form
    565.02/849.15 = 359.69/x
  3. Step 3: Cross multiply
    565.02x = 849.15 × 359.69
  4. Step 4: Simplify right side
    565.02x = 305,426.52
  5. Step 5: Solve for x
    x = 305,426.52/565.02
  6. Step 6: Final answer
    x = 540.56

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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.