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Finding the Fourth Proportional to 364.70, 503.10 and 266.30

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Solution

The fourth proportional to 364.70, 503.10 and 266.30 is: 367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 503.10 = 266.30 : x
  2. Step 2: Convert to fraction form
    364.70/503.10 = 266.30/x
  3. Step 3: Cross multiply
    364.70x = 503.10 × 266.30
  4. Step 4: Simplify right side
    364.70x = 133,975.53
  5. Step 5: Solve for x
    x = 133,975.53/364.70
  6. Step 6: Final answer
    x = 367.36

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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.