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Finding the Fourth Proportional to 426.12, 587.52 and 363.84

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Solution

The fourth proportional to 426.12, 587.52 and 363.84 is: 501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.12 : 587.52 = 363.84 : x
  2. Step 2: Convert to fraction form
    426.12/587.52 = 363.84/x
  3. Step 3: Cross multiply
    426.12x = 587.52 × 363.84
  4. Step 4: Simplify right side
    426.12x = 213,763.28
  5. Step 5: Solve for x
    x = 213,763.28/426.12
  6. Step 6: Final answer
    x = 501.65

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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.