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Finding the Fourth Proportional to 414.84, 575.52 and 411.24

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Solution

The fourth proportional to 414.84, 575.52 and 411.24 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 575.52 = 411.24 : x
  2. Step 2: Convert to fraction form
    414.84/575.52 = 411.24/x
  3. Step 3: Cross multiply
    414.84x = 575.52 × 411.24
  4. Step 4: Simplify right side
    414.84x = 236,676.84
  5. Step 5: Solve for x
    x = 236,676.84/414.84
  6. Step 6: Final answer
    x = 570.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.