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Finding the Fourth Proportional to 421.87, 582.19 and 235.37

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Solution

The fourth proportional to 421.87, 582.19 and 235.37 is: 324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.87 : 582.19 = 235.37 : x
  2. Step 2: Convert to fraction form
    421.87/582.19 = 235.37/x
  3. Step 3: Cross multiply
    421.87x = 582.19 × 235.37
  4. Step 4: Simplify right side
    421.87x = 137,030.93
  5. Step 5: Solve for x
    x = 137,030.93/421.87
  6. Step 6: Final answer
    x = 324.82

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Double scale
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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.