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Finding the Fourth Proportional to 414.74, 572.01 and 352.77

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Solution

The fourth proportional to 414.74, 572.01 and 352.77 is: 486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 572.01 = 352.77 : x
  2. Step 2: Convert to fraction form
    414.74/572.01 = 352.77/x
  3. Step 3: Cross multiply
    414.74x = 572.01 × 352.77
  4. Step 4: Simplify right side
    414.74x = 201,787.97
  5. Step 5: Solve for x
    x = 201,787.97/414.74
  6. Step 6: Final answer
    x = 486.55

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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.