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Finding the Fourth Proportional to 473.52, 709.24 and 328.80

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Solution

The fourth proportional to 473.52, 709.24 and 328.80 is: 492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.52 : 709.24 = 328.80 : x
  2. Step 2: Convert to fraction form
    473.52/709.24 = 328.80/x
  3. Step 3: Cross multiply
    473.52x = 709.24 × 328.80
  4. Step 4: Simplify right side
    473.52x = 233,198.11
  5. Step 5: Solve for x
    x = 233,198.11/473.52
  6. Step 6: Final answer
    x = 492.48

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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.