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Finding the Fourth Proportional to 473.35, 710.20 and 213.27

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Solution

The fourth proportional to 473.35, 710.20 and 213.27 is: 319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.35 : 710.20 = 213.27 : x
  2. Step 2: Convert to fraction form
    473.35/710.20 = 213.27/x
  3. Step 3: Cross multiply
    473.35x = 710.20 × 213.27
  4. Step 4: Simplify right side
    473.35x = 151,465.95
  5. Step 5: Solve for x
    x = 151,465.95/473.35
  6. Step 6: Final answer
    x = 319.99

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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.