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Finding the Fourth Proportional to 472.74, 652.23 and 298.14

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Solution

The fourth proportional to 472.74, 652.23 and 298.14 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.74 : 652.23 = 298.14 : x
  2. Step 2: Convert to fraction form
    472.74/652.23 = 298.14/x
  3. Step 3: Cross multiply
    472.74x = 652.23 × 298.14
  4. Step 4: Simplify right side
    472.74x = 194,455.85
  5. Step 5: Solve for x
    x = 194,455.85/472.74
  6. Step 6: Final answer
    x = 411.34

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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.