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Finding the Fourth Proportional to 421.20, 580.23 and 365.58

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Solution

The fourth proportional to 421.20, 580.23 and 365.58 is: 503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.20 : 580.23 = 365.58 : x
  2. Step 2: Convert to fraction form
    421.20/580.23 = 365.58/x
  3. Step 3: Cross multiply
    421.20x = 580.23 × 365.58
  4. Step 4: Simplify right side
    421.20x = 212,120.48
  5. Step 5: Solve for x
    x = 212,120.48/421.20
  6. Step 6: Final answer
    x = 503.61

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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.