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Finding the Fourth Proportional to 472.10, 706.76 and 298.23

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Solution

The fourth proportional to 472.10, 706.76 and 298.23 is: 446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.10 : 706.76 = 298.23 : x
  2. Step 2: Convert to fraction form
    472.10/706.76 = 298.23/x
  3. Step 3: Cross multiply
    472.10x = 706.76 × 298.23
  4. Step 4: Simplify right side
    472.10x = 210,775.54
  5. Step 5: Solve for x
    x = 210,775.54/472.10
  6. Step 6: Final answer
    x = 446.47

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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.