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Finding the Fourth Proportional to 346.24, 519 and 216.04

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Solution

The fourth proportional to 346.24, 519 and 216.04 is: 323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.24 : 519 = 216.04 : x
  2. Step 2: Convert to fraction form
    346.24/519 = 216.04/x
  3. Step 3: Cross multiply
    346.24x = 519 × 216.04
  4. Step 4: Simplify right side
    346.24x = 112,124.76
  5. Step 5: Solve for x
    x = 112,124.76/346.24
  6. Step 6: Final answer
    x = 323.84

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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.