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Finding the Fourth Proportional to 346.26, 520.09 and 216.50

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Solution

The fourth proportional to 346.26, 520.09 and 216.50 is: 325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.26 : 520.09 = 216.50 : x
  2. Step 2: Convert to fraction form
    346.26/520.09 = 216.50/x
  3. Step 3: Cross multiply
    346.26x = 520.09 × 216.50
  4. Step 4: Simplify right side
    346.26x = 112,596.34
  5. Step 5: Solve for x
    x = 112,596.34/346.26
  6. Step 6: Final answer
    x = 325.18

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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.