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Finding the Fourth Proportional to 364.91, 503.48 and 266.49

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Solution

The fourth proportional to 364.91, 503.48 and 266.49 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.91 : 503.48 = 266.49 : x
  2. Step 2: Convert to fraction form
    364.91/503.48 = 266.49/x
  3. Step 3: Cross multiply
    364.91x = 503.48 × 266.49
  4. Step 4: Simplify right side
    364.91x = 134,173.05
  5. Step 5: Solve for x
    x = 134,173.05/364.91
  6. Step 6: Final answer
    x = 367.69

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