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Finding the Fourth Proportional to 369.53, 553.61 and 266.32

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Solution

The fourth proportional to 369.53, 553.61 and 266.32 is: 398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.53 : 553.61 = 266.32 : x
  2. Step 2: Convert to fraction form
    369.53/553.61 = 266.32/x
  3. Step 3: Cross multiply
    369.53x = 553.61 × 266.32
  4. Step 4: Simplify right side
    369.53x = 147,438.77
  5. Step 5: Solve for x
    x = 147,438.77/369.53
  6. Step 6: Final answer
    x = 398.99

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Why These Related Problems?

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