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Finding the Fourth Proportional to 462.52, 692.36 and 332.31

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Solution

The fourth proportional to 462.52, 692.36 and 332.31 is: 497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.52 : 692.36 = 332.31 : x
  2. Step 2: Convert to fraction form
    462.52/692.36 = 332.31/x
  3. Step 3: Cross multiply
    462.52x = 692.36 × 332.31
  4. Step 4: Simplify right side
    462.52x = 230,078.15
  5. Step 5: Solve for x
    x = 230,078.15/462.52
  6. Step 6: Final answer
    x = 497.44

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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.