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Finding the Fourth Proportional to 460.32, 634.96 and 322.08

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Solution

The fourth proportional to 460.32, 634.96 and 322.08 is: 444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.32 : 634.96 = 322.08 : x
  2. Step 2: Convert to fraction form
    460.32/634.96 = 322.08/x
  3. Step 3: Cross multiply
    460.32x = 634.96 × 322.08
  4. Step 4: Simplify right side
    460.32x = 204,507.92
  5. Step 5: Solve for x
    x = 204,507.92/460.32
  6. Step 6: Final answer
    x = 444.27

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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.