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Finding the Fourth Proportional to 895.38, 1,343.24 and 433.47

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Solution

The fourth proportional to 895.38, 1,343.24 and 433.47 is: 650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.38 : 1,343.24 = 433.47 : x
  2. Step 2: Convert to fraction form
    895.38/1,343.24 = 433.47/x
  3. Step 3: Cross multiply
    895.38x = 1,343.24 × 433.47
  4. Step 4: Simplify right side
    895.38x = 582,254.24
  5. Step 5: Solve for x
    x = 582,254.24/895.38
  6. Step 6: Final answer
    x = 650.29

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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.