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Finding the Fourth Proportional to 462.69, 692.96 and 270.45

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Solution

The fourth proportional to 462.69, 692.96 and 270.45 is: 405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 692.96 = 270.45 : x
  2. Step 2: Convert to fraction form
    462.69/692.96 = 270.45/x
  3. Step 3: Cross multiply
    462.69x = 692.96 × 270.45
  4. Step 4: Simplify right side
    462.69x = 187,409.68
  5. Step 5: Solve for x
    x = 187,409.68/462.69
  6. Step 6: Final answer
    x = 405.04

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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.