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Finding the Fourth Proportional to 314.34, 472.11 and 266.01

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Solution

The fourth proportional to 314.34, 472.11 and 266.01 is: 399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 472.11 = 266.01 : x
  2. Step 2: Convert to fraction form
    314.34/472.11 = 266.01/x
  3. Step 3: Cross multiply
    314.34x = 472.11 × 266.01
  4. Step 4: Simplify right side
    314.34x = 125,585.98
  5. Step 5: Solve for x
    x = 125,585.98/314.34
  6. Step 6: Final answer
    x = 399.52

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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.