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Finding the Fourth Proportional to 414.49, 618.24 and 352.93

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Solution

The fourth proportional to 414.49, 618.24 and 352.93 is: 526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.49 : 618.24 = 352.93 : x
  2. Step 2: Convert to fraction form
    414.49/618.24 = 352.93/x
  3. Step 3: Cross multiply
    414.49x = 618.24 × 352.93
  4. Step 4: Simplify right side
    414.49x = 218,195.44
  5. Step 5: Solve for x
    x = 218,195.44/414.49
  6. Step 6: Final answer
    x = 526.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.