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Finding the Fourth Proportional to 895.59, 1,342.87 and 279.13

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Solution

The fourth proportional to 895.59, 1,342.87 and 279.13 is: 418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.59 : 1,342.87 = 279.13 : x
  2. Step 2: Convert to fraction form
    895.59/1,342.87 = 279.13/x
  3. Step 3: Cross multiply
    895.59x = 1,342.87 × 279.13
  4. Step 4: Simplify right side
    895.59x = 374,835.30
  5. Step 5: Solve for x
    x = 374,835.30/895.59
  6. Step 6: Final answer
    x = 418.53

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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.