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Finding the Fourth Proportional to 473.23, 652.92 and 298.57

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Solution

The fourth proportional to 473.23, 652.92 and 298.57 is: 411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.23 : 652.92 = 298.57 : x
  2. Step 2: Convert to fraction form
    473.23/652.92 = 298.57/x
  3. Step 3: Cross multiply
    473.23x = 652.92 × 298.57
  4. Step 4: Simplify right side
    473.23x = 194,942.32
  5. Step 5: Solve for x
    x = 194,942.32/473.23
  6. Step 6: Final answer
    x = 411.94

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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.