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Finding the Fourth Proportional to 462.07, 692.55 and 184.21

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Solution

The fourth proportional to 462.07, 692.55 and 184.21 is: 276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.07 : 692.55 = 184.21 : x
  2. Step 2: Convert to fraction form
    462.07/692.55 = 184.21/x
  3. Step 3: Cross multiply
    462.07x = 692.55 × 184.21
  4. Step 4: Simplify right side
    462.07x = 127,572.90
  5. Step 5: Solve for x
    x = 127,572.90/462.07
  6. Step 6: Final answer
    x = 276.09

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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.