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Finding the Fourth Proportional to 472.38, 651.83 and 297.69

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Solution

The fourth proportional to 472.38, 651.83 and 297.69 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 651.83 = 297.69 : x
  2. Step 2: Convert to fraction form
    472.38/651.83 = 297.69/x
  3. Step 3: Cross multiply
    472.38x = 651.83 × 297.69
  4. Step 4: Simplify right side
    472.38x = 194,041.78
  5. Step 5: Solve for x
    x = 194,041.78/472.38
  6. Step 6: Final answer
    x = 410.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.