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Finding the Fourth Proportional to 346.14, 477.75 and 228.13

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Solution

The fourth proportional to 346.14, 477.75 and 228.13 is: 314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.14 : 477.75 = 228.13 : x
  2. Step 2: Convert to fraction form
    346.14/477.75 = 228.13/x
  3. Step 3: Cross multiply
    346.14x = 477.75 × 228.13
  4. Step 4: Simplify right side
    346.14x = 108,988.77
  5. Step 5: Solve for x
    x = 108,988.77/346.14
  6. Step 6: Final answer
    x = 314.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.