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Finding the Fourth Proportional to 462.06, 692.72 and 315.44

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Solution

The fourth proportional to 462.06, 692.72 and 315.44 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 692.72 = 315.44 : x
  2. Step 2: Convert to fraction form
    462.06/692.72 = 315.44/x
  3. Step 3: Cross multiply
    462.06x = 692.72 × 315.44
  4. Step 4: Simplify right side
    462.06x = 218,511.60
  5. Step 5: Solve for x
    x = 218,511.60/462.06
  6. Step 6: Final answer
    x = 472.91

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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.