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Finding the Fourth Proportional to 445.67, 614.93 and 249.13

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Solution

The fourth proportional to 445.67, 614.93 and 249.13 is: 343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.67 : 614.93 = 249.13 : x
  2. Step 2: Convert to fraction form
    445.67/614.93 = 249.13/x
  3. Step 3: Cross multiply
    445.67x = 614.93 × 249.13
  4. Step 4: Simplify right side
    445.67x = 153,197.51
  5. Step 5: Solve for x
    x = 153,197.51/445.67
  6. Step 6: Final answer
    x = 343.75

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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.