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Finding the Fourth Proportional to 473.33, 708.79 and 396.10

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Solution

The fourth proportional to 473.33, 708.79 and 396.10 is: 593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.33 : 708.79 = 396.10 : x
  2. Step 2: Convert to fraction form
    473.33/708.79 = 396.10/x
  3. Step 3: Cross multiply
    473.33x = 708.79 × 396.10
  4. Step 4: Simplify right side
    473.33x = 280,751.48
  5. Step 5: Solve for x
    x = 280,751.48/473.33
  6. Step 6: Final answer
    x = 593.15

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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.