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Finding the Fourth Proportional to 414.96, 572.36 and 283.76

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Solution

The fourth proportional to 414.96, 572.36 and 283.76 is: 391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 572.36 = 283.76 : x
  2. Step 2: Convert to fraction form
    414.96/572.36 = 283.76/x
  3. Step 3: Cross multiply
    414.96x = 572.36 × 283.76
  4. Step 4: Simplify right side
    414.96x = 162,412.87
  5. Step 5: Solve for x
    x = 162,412.87/414.96
  6. Step 6: Final answer
    x = 391.39

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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.