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Finding the Fourth Proportional to 472.65, 708.17 and 228.71

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Solution

The fourth proportional to 472.65, 708.17 and 228.71 is: 342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.65 : 708.17 = 228.71 : x
  2. Step 2: Convert to fraction form
    472.65/708.17 = 228.71/x
  3. Step 3: Cross multiply
    472.65x = 708.17 × 228.71
  4. Step 4: Simplify right side
    472.65x = 161,960.88
  5. Step 5: Solve for x
    x = 161,960.88/472.65
  6. Step 6: Final answer
    x = 342.67

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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.