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Finding the Fourth Proportional to 472.14, 651.71 and 322.85

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Solution

The fourth proportional to 472.14, 651.71 and 322.85 is: 445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 651.71 = 322.85 : x
  2. Step 2: Convert to fraction form
    472.14/651.71 = 322.85/x
  3. Step 3: Cross multiply
    472.14x = 651.71 × 322.85
  4. Step 4: Simplify right side
    472.14x = 210,407.01
  5. Step 5: Solve for x
    x = 210,407.01/472.14
  6. Step 6: Final answer
    x = 445.65

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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.