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Finding the Fourth Proportional to 473.08, 652.46 and 298.36

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Solution

The fourth proportional to 473.08, 652.46 and 298.36 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.08 : 652.46 = 298.36 : x
  2. Step 2: Convert to fraction form
    473.08/652.46 = 298.36/x
  3. Step 3: Cross multiply
    473.08x = 652.46 × 298.36
  4. Step 4: Simplify right side
    473.08x = 194,667.97
  5. Step 5: Solve for x
    x = 194,667.97/473.08
  6. Step 6: Final answer
    x = 411.49

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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.