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Finding the Fourth Proportional to 346.21, 518.90 and 264.81

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Solution

The fourth proportional to 346.21, 518.90 and 264.81 is: 396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.21 : 518.90 = 264.81 : x
  2. Step 2: Convert to fraction form
    346.21/518.90 = 264.81/x
  3. Step 3: Cross multiply
    346.21x = 518.90 × 264.81
  4. Step 4: Simplify right side
    346.21x = 137,409.91
  5. Step 5: Solve for x
    x = 137,409.91/346.21
  6. Step 6: Final answer
    x = 396.90

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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.