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Finding the Fourth Proportional to 395.88, 546.53 and 256.20

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Solution

The fourth proportional to 395.88, 546.53 and 256.20 is: 353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.88 : 546.53 = 256.20 : x
  2. Step 2: Convert to fraction form
    395.88/546.53 = 256.20/x
  3. Step 3: Cross multiply
    395.88x = 546.53 × 256.20
  4. Step 4: Simplify right side
    395.88x = 140,020.99
  5. Step 5: Solve for x
    x = 140,020.99/395.88
  6. Step 6: Final answer
    x = 353.70

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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.