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Finding the Fourth Proportional to 425.14, 587.12 and 324.02

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Solution

The fourth proportional to 425.14, 587.12 and 324.02 is: 447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.14 : 587.12 = 324.02 : x
  2. Step 2: Convert to fraction form
    425.14/587.12 = 324.02/x
  3. Step 3: Cross multiply
    425.14x = 587.12 × 324.02
  4. Step 4: Simplify right side
    425.14x = 190,238.47
  5. Step 5: Solve for x
    x = 190,238.47/425.14
  6. Step 6: Final answer
    x = 447.48

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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.