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Finding the Fourth Proportional to 395.64, 592.43 and 265.43

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Solution

The fourth proportional to 395.64, 592.43 and 265.43 is: 397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 592.43 = 265.43 : x
  2. Step 2: Convert to fraction form
    395.64/592.43 = 265.43/x
  3. Step 3: Cross multiply
    395.64x = 592.43 × 265.43
  4. Step 4: Simplify right side
    395.64x = 157,244.41
  5. Step 5: Solve for x
    x = 157,244.41/395.64
  6. Step 6: Final answer
    x = 397.44

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