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Finding the Fourth Proportional to 895.44, 1,342.84 and 279.08

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Solution

The fourth proportional to 895.44, 1,342.84 and 279.08 is: 418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.44 : 1,342.84 = 279.08 : x
  2. Step 2: Convert to fraction form
    895.44/1,342.84 = 279.08/x
  3. Step 3: Cross multiply
    895.44x = 1,342.84 × 279.08
  4. Step 4: Simplify right side
    895.44x = 374,759.79
  5. Step 5: Solve for x
    x = 374,759.79/895.44
  6. Step 6: Final answer
    x = 418.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.