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Finding the Fourth Proportional to 364.48, 503.09 and 248.11

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Solution

The fourth proportional to 364.48, 503.09 and 248.11 is: 342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.48 : 503.09 = 248.11 : x
  2. Step 2: Convert to fraction form
    364.48/503.09 = 248.11/x
  3. Step 3: Cross multiply
    364.48x = 503.09 × 248.11
  4. Step 4: Simplify right side
    364.48x = 124,821.02
  5. Step 5: Solve for x
    x = 124,821.02/364.48
  6. Step 6: Final answer
    x = 342.47

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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.