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Finding the Fourth Proportional to 364.66, 503.02 and 224.75

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Solution

The fourth proportional to 364.66, 503.02 and 224.75 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.66 : 503.02 = 224.75 : x
  2. Step 2: Convert to fraction form
    364.66/503.02 = 224.75/x
  3. Step 3: Cross multiply
    364.66x = 503.02 × 224.75
  4. Step 4: Simplify right side
    364.66x = 113,051.93
  5. Step 5: Solve for x
    x = 113,051.93/364.66
  6. Step 6: Final answer
    x = 310.02

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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.