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Finding the Fourth Proportional to 473.64, 709.88 and 213.57

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Solution

The fourth proportional to 473.64, 709.88 and 213.57 is: 320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.64 : 709.88 = 213.57 : x
  2. Step 2: Convert to fraction form
    473.64/709.88 = 213.57/x
  3. Step 3: Cross multiply
    473.64x = 709.88 × 213.57
  4. Step 4: Simplify right side
    473.64x = 151,609.21
  5. Step 5: Solve for x
    x = 151,609.21/473.64
  6. Step 6: Final answer
    x = 320.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.