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Finding the Fourth Proportional to 369.47, 506.17 and 355.61

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Solution

The fourth proportional to 369.47, 506.17 and 355.61 is: 487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.47 : 506.17 = 355.61 : x
  2. Step 2: Convert to fraction form
    369.47/506.17 = 355.61/x
  3. Step 3: Cross multiply
    369.47x = 506.17 × 355.61
  4. Step 4: Simplify right side
    369.47x = 179,999.11
  5. Step 5: Solve for x
    x = 179,999.11/369.47
  6. Step 6: Final answer
    x = 487.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.