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Finding the Fourth Proportional to 472.96, 652.64 and 374.96

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Solution

The fourth proportional to 472.96, 652.64 and 374.96 is: 517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.96 : 652.64 = 374.96 : x
  2. Step 2: Convert to fraction form
    472.96/652.64 = 374.96/x
  3. Step 3: Cross multiply
    472.96x = 652.64 × 374.96
  4. Step 4: Simplify right side
    472.96x = 244,713.89
  5. Step 5: Solve for x
    x = 244,713.89/472.96
  6. Step 6: Final answer
    x = 517.41

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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.