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Finding the Fourth Proportional to 475.34, 711.66 and 367.34

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Solution

The fourth proportional to 475.34, 711.66 and 367.34 is: 549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.34 : 711.66 = 367.34 : x
  2. Step 2: Convert to fraction form
    475.34/711.66 = 367.34/x
  3. Step 3: Cross multiply
    475.34x = 711.66 × 367.34
  4. Step 4: Simplify right side
    475.34x = 261,421.18
  5. Step 5: Solve for x
    x = 261,421.18/475.34
  6. Step 6: Final answer
    x = 549.97

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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.