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Finding the Fourth Proportional to 305.48, 421.08 and 282.08

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Solution

The fourth proportional to 305.48, 421.08 and 282.08 is: 388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 421.08 = 282.08 : x
  2. Step 2: Convert to fraction form
    305.48/421.08 = 282.08/x
  3. Step 3: Cross multiply
    305.48x = 421.08 × 282.08
  4. Step 4: Simplify right side
    305.48x = 118,778.25
  5. Step 5: Solve for x
    x = 118,778.25/305.48
  6. Step 6: Final answer
    x = 388.82

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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.