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Finding the Fourth Proportional to 462.33, 692.42 and 353.52

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Solution

The fourth proportional to 462.33, 692.42 and 353.52 is: 529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.33 : 692.42 = 353.52 : x
  2. Step 2: Convert to fraction form
    462.33/692.42 = 353.52/x
  3. Step 3: Cross multiply
    462.33x = 692.42 × 353.52
  4. Step 4: Simplify right side
    462.33x = 244,782.55
  5. Step 5: Solve for x
    x = 244,782.55/462.33
  6. Step 6: Final answer
    x = 529.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.