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Finding the Fourth Proportional to 473.14, 652.91 and 298.31

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Solution

The fourth proportional to 473.14, 652.91 and 298.31 is: 411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.14 : 652.91 = 298.31 : x
  2. Step 2: Convert to fraction form
    473.14/652.91 = 298.31/x
  3. Step 3: Cross multiply
    473.14x = 652.91 × 298.31
  4. Step 4: Simplify right side
    473.14x = 194,771.96
  5. Step 5: Solve for x
    x = 194,771.96/473.14
  6. Step 6: Final answer
    x = 411.66

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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.