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Finding the Fourth Proportional to 346.46, 518.96 and 269.16

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Solution

The fourth proportional to 346.46, 518.96 and 269.16 is: 403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 518.96 = 269.16 : x
  2. Step 2: Convert to fraction form
    346.46/518.96 = 269.16/x
  3. Step 3: Cross multiply
    346.46x = 518.96 × 269.16
  4. Step 4: Simplify right side
    346.46x = 139,683.27
  5. Step 5: Solve for x
    x = 139,683.27/346.46
  6. Step 6: Final answer
    x = 403.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.