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Finding the Fourth Proportional to 312.61, 469.46 and 216.49

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Solution

The fourth proportional to 312.61, 469.46 and 216.49 is: 325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 469.46 = 216.49 : x
  2. Step 2: Convert to fraction form
    312.61/469.46 = 216.49/x
  3. Step 3: Cross multiply
    312.61x = 469.46 × 216.49
  4. Step 4: Simplify right side
    312.61x = 101,633.40
  5. Step 5: Solve for x
    x = 101,633.40/312.61
  6. Step 6: Final answer
    x = 325.11

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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.