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Finding the Fourth Proportional to 473.40, 652.86 and 298.44

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Solution

The fourth proportional to 473.40, 652.86 and 298.44 is: 411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 652.86 = 298.44 : x
  2. Step 2: Convert to fraction form
    473.40/652.86 = 298.44/x
  3. Step 3: Cross multiply
    473.40x = 652.86 × 298.44
  4. Step 4: Simplify right side
    473.40x = 194,839.54
  5. Step 5: Solve for x
    x = 194,839.54/473.40
  6. Step 6: Final answer
    x = 411.57

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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.