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Finding the Fourth Proportional to 282.34, 421.42 and 265.03

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Solution

The fourth proportional to 282.34, 421.42 and 265.03 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.34 : 421.42 = 265.03 : x
  2. Step 2: Convert to fraction form
    282.34/421.42 = 265.03/x
  3. Step 3: Cross multiply
    282.34x = 421.42 × 265.03
  4. Step 4: Simplify right side
    282.34x = 111,688.94
  5. Step 5: Solve for x
    x = 111,688.94/282.34
  6. Step 6: Final answer
    x = 395.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.