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Finding the Fourth Proportional to 414.75, 572.36 and 259.59

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Solution

The fourth proportional to 414.75, 572.36 and 259.59 is: 358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 572.36 = 259.59 : x
  2. Step 2: Convert to fraction form
    414.75/572.36 = 259.59/x
  3. Step 3: Cross multiply
    414.75x = 572.36 × 259.59
  4. Step 4: Simplify right side
    414.75x = 148,577.63
  5. Step 5: Solve for x
    x = 148,577.63/414.75
  6. Step 6: Final answer
    x = 358.23

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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.