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Finding the Fourth Proportional to 858.65, 1,287.83 and 242.21

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Solution

The fourth proportional to 858.65, 1,287.83 and 242.21 is: 363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.65 : 1,287.83 = 242.21 : x
  2. Step 2: Convert to fraction form
    858.65/1,287.83 = 242.21/x
  3. Step 3: Cross multiply
    858.65x = 1,287.83 × 242.21
  4. Step 4: Simplify right side
    858.65x = 311,926.30
  5. Step 5: Solve for x
    x = 311,926.30/858.65
  6. Step 6: Final answer
    x = 363.27

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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.