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Finding the Fourth Proportional to 414.84, 572.64 and 259.56

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Solution

The fourth proportional to 414.84, 572.64 and 259.56 is: 358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 572.64 = 259.56 : x
  2. Step 2: Convert to fraction form
    414.84/572.64 = 259.56/x
  3. Step 3: Cross multiply
    414.84x = 572.64 × 259.56
  4. Step 4: Simplify right side
    414.84x = 148,634.44
  5. Step 5: Solve for x
    x = 148,634.44/414.84
  6. Step 6: Final answer
    x = 358.29

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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.