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Finding the Fourth Proportional to 359.84, 496.58 and 220.20

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Solution

The fourth proportional to 359.84, 496.58 and 220.20 is: 303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.84 : 496.58 = 220.20 : x
  2. Step 2: Convert to fraction form
    359.84/496.58 = 220.20/x
  3. Step 3: Cross multiply
    359.84x = 496.58 × 220.20
  4. Step 4: Simplify right side
    359.84x = 109,345.82
  5. Step 5: Solve for x
    x = 109,345.82/359.84
  6. Step 6: Final answer
    x = 303.87

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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.