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Finding the Fourth Proportional to 472.45, 708.21 and 299.31

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Solution

The fourth proportional to 472.45, 708.21 and 299.31 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.45 : 708.21 = 299.31 : x
  2. Step 2: Convert to fraction form
    472.45/708.21 = 299.31/x
  3. Step 3: Cross multiply
    472.45x = 708.21 × 299.31
  4. Step 4: Simplify right side
    472.45x = 211,975.66
  5. Step 5: Solve for x
    x = 211,975.66/472.45
  6. Step 6: Final answer
    x = 448.67

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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.