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Finding the Fourth Proportional to 566.42, 849.64 and 444.54

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Solution

The fourth proportional to 566.42, 849.64 and 444.54 is: 666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 849.64 = 444.54 : x
  2. Step 2: Convert to fraction form
    566.42/849.64 = 444.54/x
  3. Step 3: Cross multiply
    566.42x = 849.64 × 444.54
  4. Step 4: Simplify right side
    566.42x = 377,698.97
  5. Step 5: Solve for x
    x = 377,698.97/566.42
  6. Step 6: Final answer
    x = 666.82

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