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Finding the Fourth Proportional to 895.89, 1,344.24 and 347.92

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Solution

The fourth proportional to 895.89, 1,344.24 and 347.92 is: 522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.89 : 1,344.24 = 347.92 : x
  2. Step 2: Convert to fraction form
    895.89/1,344.24 = 347.92/x
  3. Step 3: Cross multiply
    895.89x = 1,344.24 × 347.92
  4. Step 4: Simplify right side
    895.89x = 467,687.98
  5. Step 5: Solve for x
    x = 467,687.98/895.89
  6. Step 6: Final answer
    x = 522.04

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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.