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Finding the Fourth Proportional to 472.92, 704.34 and 442.92

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Solution

The fourth proportional to 472.92, 704.34 and 442.92 is: 659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.92 : 704.34 = 442.92 : x
  2. Step 2: Convert to fraction form
    472.92/704.34 = 442.92/x
  3. Step 3: Cross multiply
    472.92x = 704.34 × 442.92
  4. Step 4: Simplify right side
    472.92x = 311,966.27
  5. Step 5: Solve for x
    x = 311,966.27/472.92
  6. Step 6: Final answer
    x = 659.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.