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Finding the Fourth Proportional to 277.04, 415.34 and 216.30

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Solution

The fourth proportional to 277.04, 415.34 and 216.30 is: 324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 415.34 = 216.30 : x
  2. Step 2: Convert to fraction form
    277.04/415.34 = 216.30/x
  3. Step 3: Cross multiply
    277.04x = 415.34 × 216.30
  4. Step 4: Simplify right side
    277.04x = 89,838.04
  5. Step 5: Solve for x
    x = 89,838.04/277.04
  6. Step 6: Final answer
    x = 324.28

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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.