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Finding the Fourth Proportional to 421.87, 632.94 and 265.81

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Solution

The fourth proportional to 421.87, 632.94 and 265.81 is: 398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.87 : 632.94 = 265.81 : x
  2. Step 2: Convert to fraction form
    421.87/632.94 = 265.81/x
  3. Step 3: Cross multiply
    421.87x = 632.94 × 265.81
  4. Step 4: Simplify right side
    421.87x = 168,239.67
  5. Step 5: Solve for x
    x = 168,239.67/421.87
  6. Step 6: Final answer
    x = 398.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.