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Finding the Fourth Proportional to 565.84, 849.01 and 360.35

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Solution

The fourth proportional to 565.84, 849.01 and 360.35 is: 540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.84 : 849.01 = 360.35 : x
  2. Step 2: Convert to fraction form
    565.84/849.01 = 360.35/x
  3. Step 3: Cross multiply
    565.84x = 849.01 × 360.35
  4. Step 4: Simplify right side
    565.84x = 305,940.75
  5. Step 5: Solve for x
    x = 305,940.75/565.84
  6. Step 6: Final answer
    x = 540.68

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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.