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Finding the Fourth Proportional to 414.76, 572.84 and 322.62

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Solution

The fourth proportional to 414.76, 572.84 and 322.62 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 572.84 = 322.62 : x
  2. Step 2: Convert to fraction form
    414.76/572.84 = 322.62/x
  3. Step 3: Cross multiply
    414.76x = 572.84 × 322.62
  4. Step 4: Simplify right side
    414.76x = 184,809.64
  5. Step 5: Solve for x
    x = 184,809.64/414.76
  6. Step 6: Final answer
    x = 445.58

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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.