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Finding the Fourth Proportional to 473.06, 709.76 and 213.13

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Solution

The fourth proportional to 473.06, 709.76 and 213.13 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 709.76 = 213.13 : x
  2. Step 2: Convert to fraction form
    473.06/709.76 = 213.13/x
  3. Step 3: Cross multiply
    473.06x = 709.76 × 213.13
  4. Step 4: Simplify right side
    473.06x = 151,271.15
  5. Step 5: Solve for x
    x = 151,271.15/473.06
  6. Step 6: Final answer
    x = 319.77

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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.