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Finding the Fourth Proportional to 566.37, 850.13 and 306.36

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Solution

The fourth proportional to 566.37, 850.13 and 306.36 is: 459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.37 : 850.13 = 306.36 : x
  2. Step 2: Convert to fraction form
    566.37/850.13 = 306.36/x
  3. Step 3: Cross multiply
    566.37x = 850.13 × 306.36
  4. Step 4: Simplify right side
    566.37x = 260,444.30
  5. Step 5: Solve for x
    x = 260,444.30/566.37
  6. Step 6: Final answer
    x = 459.85

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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.