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Finding the Fourth Proportional to 895.29, 1,342.73 and 246.09

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Solution

The fourth proportional to 895.29, 1,342.73 and 246.09 is: 369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.29 : 1,342.73 = 246.09 : x
  2. Step 2: Convert to fraction form
    895.29/1,342.73 = 246.09/x
  3. Step 3: Cross multiply
    895.29x = 1,342.73 × 246.09
  4. Step 4: Simplify right side
    895.29x = 330,431.20
  5. Step 5: Solve for x
    x = 330,431.20/895.29
  6. Step 6: Final answer
    x = 369.08

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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.