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Finding the Fourth Proportional to 425.82, 587.52 and 293.16

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Solution

The fourth proportional to 425.82, 587.52 and 293.16 is: 404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.82 : 587.52 = 293.16 : x
  2. Step 2: Convert to fraction form
    425.82/587.52 = 293.16/x
  3. Step 3: Cross multiply
    425.82x = 587.52 × 293.16
  4. Step 4: Simplify right side
    425.82x = 172,237.36
  5. Step 5: Solve for x
    x = 172,237.36/425.82
  6. Step 6: Final answer
    x = 404.48

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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.