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Finding the Fourth Proportional to 314.33, 471.02 and 232.77

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Solution

The fourth proportional to 314.33, 471.02 and 232.77 is: 348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 471.02 = 232.77 : x
  2. Step 2: Convert to fraction form
    314.33/471.02 = 232.77/x
  3. Step 3: Cross multiply
    314.33x = 471.02 × 232.77
  4. Step 4: Simplify right side
    314.33x = 109,639.93
  5. Step 5: Solve for x
    x = 109,639.93/314.33
  6. Step 6: Final answer
    x = 348.80

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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.