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Finding the Fourth Proportional to 460.69, 633.83 and 398.32

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Solution

The fourth proportional to 460.69, 633.83 and 398.32 is: 548.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 633.83 = 398.32 : x
  2. Step 2: Convert to fraction form
    460.69/633.83 = 398.32/x
  3. Step 3: Cross multiply
    460.69x = 633.83 × 398.32
  4. Step 4: Simplify right side
    460.69x = 252,463.59
  5. Step 5: Solve for x
    x = 252,463.59/460.69
  6. Step 6: Final answer
    x = 548.01

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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.