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Finding the Fourth Proportional to 445.51, 614.82 and 268.53

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Solution

The fourth proportional to 445.51, 614.82 and 268.53 is: 370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.51 : 614.82 = 268.53 : x
  2. Step 2: Convert to fraction form
    445.51/614.82 = 268.53/x
  3. Step 3: Cross multiply
    445.51x = 614.82 × 268.53
  4. Step 4: Simplify right side
    445.51x = 165,097.61
  5. Step 5: Solve for x
    x = 165,097.61/445.51
  6. Step 6: Final answer
    x = 370.58

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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.