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Finding the Fourth Proportional to 359.06, 539.40 and 256.60

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Solution

The fourth proportional to 359.06, 539.40 and 256.60 is: 385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.06 : 539.40 = 256.60 : x
  2. Step 2: Convert to fraction form
    359.06/539.40 = 256.60/x
  3. Step 3: Cross multiply
    359.06x = 539.40 × 256.60
  4. Step 4: Simplify right side
    359.06x = 138,410.04
  5. Step 5: Solve for x
    x = 138,410.04/359.06
  6. Step 6: Final answer
    x = 385.48

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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.