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Finding the Fourth Proportional to 472.10, 708.19 and 215.54

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Solution

The fourth proportional to 472.10, 708.19 and 215.54 is: 323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.10 : 708.19 = 215.54 : x
  2. Step 2: Convert to fraction form
    472.10/708.19 = 215.54/x
  3. Step 3: Cross multiply
    472.10x = 708.19 × 215.54
  4. Step 4: Simplify right side
    472.10x = 152,643.27
  5. Step 5: Solve for x
    x = 152,643.27/472.10
  6. Step 6: Final answer
    x = 323.33

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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.