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Finding the Fourth Proportional to 473.96, 711.00 and 214.14

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Solution

The fourth proportional to 473.96, 711.00 and 214.14 is: 321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.96 : 711.00 = 214.14 : x
  2. Step 2: Convert to fraction form
    473.96/711.00 = 214.14/x
  3. Step 3: Cross multiply
    473.96x = 711.00 × 214.14
  4. Step 4: Simplify right side
    473.96x = 152,256.81
  5. Step 5: Solve for x
    x = 152,256.81/473.96
  6. Step 6: Final answer
    x = 321.24

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