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Finding the Fourth Proportional to 421.26, 582.06 and 347.52

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Solution

The fourth proportional to 421.26, 582.06 and 347.52 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.26 : 582.06 = 347.52 : x
  2. Step 2: Convert to fraction form
    421.26/582.06 = 347.52/x
  3. Step 3: Cross multiply
    421.26x = 582.06 × 347.52
  4. Step 4: Simplify right side
    421.26x = 202,277.49
  5. Step 5: Solve for x
    x = 202,277.49/421.26
  6. Step 6: Final answer
    x = 480.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.