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Finding the Fourth Proportional to 347.02, 520.38 and 216.83

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Solution

The fourth proportional to 347.02, 520.38 and 216.83 is: 325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.02 : 520.38 = 216.83 : x
  2. Step 2: Convert to fraction form
    347.02/520.38 = 216.83/x
  3. Step 3: Cross multiply
    347.02x = 520.38 × 216.83
  4. Step 4: Simplify right side
    347.02x = 112,835.30
  5. Step 5: Solve for x
    x = 112,835.30/347.02
  6. Step 6: Final answer
    x = 325.16

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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.