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Finding the Fourth Proportional to 1,632.84, 2,449.25 and 400.25

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Solution

The fourth proportional to 1,632.84, 2,449.25 and 400.25 is: 600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.84 : 2,449.25 = 400.25 : x
  2. Step 2: Convert to fraction form
    1,632.84/2,449.25 = 400.25/x
  3. Step 3: Cross multiply
    1,632.84x = 2,449.25 × 400.25
  4. Step 4: Simplify right side
    1,632.84x = 980,298.07
  5. Step 5: Solve for x
    x = 980,298.07/1,632.84
  6. Step 6: Final answer
    x = 600.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.