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Finding the Fourth Proportional to 346.10, 477.81 and 220.23

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Solution

The fourth proportional to 346.10, 477.81 and 220.23 is: 304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 477.81 = 220.23 : x
  2. Step 2: Convert to fraction form
    346.10/477.81 = 220.23/x
  3. Step 3: Cross multiply
    346.10x = 477.81 × 220.23
  4. Step 4: Simplify right side
    346.10x = 105,228.10
  5. Step 5: Solve for x
    x = 105,228.10/346.10
  6. Step 6: Final answer
    x = 304.04

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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.