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Finding the Fourth Proportional to 365.37, 504.14 and 218.00

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Solution

The fourth proportional to 365.37, 504.14 and 218.00 is: 300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.37 : 504.14 = 218.00 : x
  2. Step 2: Convert to fraction form
    365.37/504.14 = 218.00/x
  3. Step 3: Cross multiply
    365.37x = 504.14 × 218.00
  4. Step 4: Simplify right side
    365.37x = 109,898.91
  5. Step 5: Solve for x
    x = 109,898.91/365.37
  6. Step 6: Final answer
    x = 300.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.