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Finding the Fourth Proportional to 364.59, 503.16 and 217.32

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Solution

The fourth proportional to 364.59, 503.16 and 217.32 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 503.16 = 217.32 : x
  2. Step 2: Convert to fraction form
    364.59/503.16 = 217.32/x
  3. Step 3: Cross multiply
    364.59x = 503.16 × 217.32
  4. Step 4: Simplify right side
    364.59x = 109,346.73
  5. Step 5: Solve for x
    x = 109,346.73/364.59
  6. Step 6: Final answer
    x = 299.92

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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.