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Finding the Fourth Proportional to 359.66, 539 and 296.30

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Solution

The fourth proportional to 359.66, 539 and 296.30 is: 444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.66 : 539 = 296.30 : x
  2. Step 2: Convert to fraction form
    359.66/539 = 296.30/x
  3. Step 3: Cross multiply
    359.66x = 539 × 296.30
  4. Step 4: Simplify right side
    359.66x = 159,705.70
  5. Step 5: Solve for x
    x = 159,705.70/359.66
  6. Step 6: Final answer
    x = 444.05

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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.