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Finding the Fourth Proportional to 365.01, 503.64 and 217.65

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Solution

The fourth proportional to 365.01, 503.64 and 217.65 is: 300.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.01 : 503.64 = 217.65 : x
  2. Step 2: Convert to fraction form
    365.01/503.64 = 217.65/x
  3. Step 3: Cross multiply
    365.01x = 503.64 × 217.65
  4. Step 4: Simplify right side
    365.01x = 109,617.25
  5. Step 5: Solve for x
    x = 109,617.25/365.01
  6. Step 6: Final answer
    x = 300.31

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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.