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Finding the Fourth Proportional to 566.09, 849.34 and 349.82

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Solution

The fourth proportional to 566.09, 849.34 and 349.82 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.09 : 849.34 = 349.82 : x
  2. Step 2: Convert to fraction form
    566.09/849.34 = 349.82/x
  3. Step 3: Cross multiply
    566.09x = 849.34 × 349.82
  4. Step 4: Simplify right side
    566.09x = 297,113.53
  5. Step 5: Solve for x
    x = 297,113.53/566.09
  6. Step 6: Final answer
    x = 524.85

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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.