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Finding the Fourth Proportional to 421.88, 582.04 and 369.41

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Solution

The fourth proportional to 421.88, 582.04 and 369.41 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.88 : 582.04 = 369.41 : x
  2. Step 2: Convert to fraction form
    421.88/582.04 = 369.41/x
  3. Step 3: Cross multiply
    421.88x = 582.04 × 369.41
  4. Step 4: Simplify right side
    421.88x = 215,011.40
  5. Step 5: Solve for x
    x = 215,011.40/421.88
  6. Step 6: Final answer
    x = 509.65

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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.