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Finding the Fourth Proportional to 895.41, 1,342.68 and 279

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Solution

The fourth proportional to 895.41, 1,342.68 and 279 is: 418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.41 : 1,342.68 = 279 : x
  2. Step 2: Convert to fraction form
    895.41/1,342.68 = 279/x
  3. Step 3: Cross multiply
    895.41x = 1,342.68 × 279
  4. Step 4: Simplify right side
    895.41x = 374,607.72
  5. Step 5: Solve for x
    x = 374,607.72/895.41
  6. Step 6: Final answer
    x = 418.36

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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.