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Finding the Fourth Proportional to 462.56, 692.01 and 369.27

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Solution

The fourth proportional to 462.56, 692.01 and 369.27 is: 552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 692.01 = 369.27 : x
  2. Step 2: Convert to fraction form
    462.56/692.01 = 369.27/x
  3. Step 3: Cross multiply
    462.56x = 692.01 × 369.27
  4. Step 4: Simplify right side
    462.56x = 255,538.53
  5. Step 5: Solve for x
    x = 255,538.53/462.56
  6. Step 6: Final answer
    x = 552.45

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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.