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Finding the Fourth Proportional to 472.48, 708.91 and 228.98

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Solution

The fourth proportional to 472.48, 708.91 and 228.98 is: 343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 708.91 = 228.98 : x
  2. Step 2: Convert to fraction form
    472.48/708.91 = 228.98/x
  3. Step 3: Cross multiply
    472.48x = 708.91 × 228.98
  4. Step 4: Simplify right side
    472.48x = 162,326.21
  5. Step 5: Solve for x
    x = 162,326.21/472.48
  6. Step 6: Final answer
    x = 343.56

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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.