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Finding the Fourth Proportional to 369.36, 553.38 and 292.80

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Solution

The fourth proportional to 369.36, 553.38 and 292.80 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.36 : 553.38 = 292.80 : x
  2. Step 2: Convert to fraction form
    369.36/553.38 = 292.80/x
  3. Step 3: Cross multiply
    369.36x = 553.38 × 292.80
  4. Step 4: Simplify right side
    369.36x = 162,029.66
  5. Step 5: Solve for x
    x = 162,029.66/369.36
  6. Step 6: Final answer
    x = 438.68

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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.