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Finding the Fourth Proportional to 472.32, 708.03 and 228.51

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Solution

The fourth proportional to 472.32, 708.03 and 228.51 is: 342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 708.03 = 228.51 : x
  2. Step 2: Convert to fraction form
    472.32/708.03 = 228.51/x
  3. Step 3: Cross multiply
    472.32x = 708.03 × 228.51
  4. Step 4: Simplify right side
    472.32x = 161,791.94
  5. Step 5: Solve for x
    x = 161,791.94/472.32
  6. Step 6: Final answer
    x = 342.55

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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.