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Finding the Fourth Proportional to 559.47, 772.10 and 349.49

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Solution

The fourth proportional to 559.47, 772.10 and 349.49 is: 482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.47 : 772.10 = 349.49 : x
  2. Step 2: Convert to fraction form
    559.47/772.10 = 349.49/x
  3. Step 3: Cross multiply
    559.47x = 772.10 × 349.49
  4. Step 4: Simplify right side
    559.47x = 269,840.55
  5. Step 5: Solve for x
    x = 269,840.55/559.47
  6. Step 6: Final answer
    x = 482.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.