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Finding the Fourth Proportional to 895.57, 1,343.19 and 279.19

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Solution

The fourth proportional to 895.57, 1,343.19 and 279.19 is: 418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.57 : 1,343.19 = 279.19 : x
  2. Step 2: Convert to fraction form
    895.57/1,343.19 = 279.19/x
  3. Step 3: Cross multiply
    895.57x = 1,343.19 × 279.19
  4. Step 4: Simplify right side
    895.57x = 375,005.22
  5. Step 5: Solve for x
    x = 375,005.22/895.57
  6. Step 6: Final answer
    x = 418.73

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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.