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Finding the Fourth Proportional to 566.17, 849.57 and 306.17

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Solution

The fourth proportional to 566.17, 849.57 and 306.17 is: 459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.17 : 849.57 = 306.17 : x
  2. Step 2: Convert to fraction form
    566.17/849.57 = 306.17/x
  3. Step 3: Cross multiply
    566.17x = 849.57 × 306.17
  4. Step 4: Simplify right side
    566.17x = 260,108.60
  5. Step 5: Solve for x
    x = 260,108.60/566.17
  6. Step 6: Final answer
    x = 459.42

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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.