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Finding the Fourth Proportional to 472.71, 708.96 and 299.15

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Solution

The fourth proportional to 472.71, 708.96 and 299.15 is: 448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 708.96 = 299.15 : x
  2. Step 2: Convert to fraction form
    472.71/708.96 = 299.15/x
  3. Step 3: Cross multiply
    472.71x = 708.96 × 299.15
  4. Step 4: Simplify right side
    472.71x = 212,086.77
  5. Step 5: Solve for x
    x = 212,086.77/472.71
  6. Step 6: Final answer
    x = 448.66

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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.