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Finding the Fourth Proportional to 364.98, 503.24 and 266.70

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Solution

The fourth proportional to 364.98, 503.24 and 266.70 is: 367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.98 : 503.24 = 266.70 : x
  2. Step 2: Convert to fraction form
    364.98/503.24 = 266.70/x
  3. Step 3: Cross multiply
    364.98x = 503.24 × 266.70
  4. Step 4: Simplify right side
    364.98x = 134,214.11
  5. Step 5: Solve for x
    x = 134,214.11/364.98
  6. Step 6: Final answer
    x = 367.73

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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.