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Finding the Fourth Proportional to 649.40, 896.28 and 369.64

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Solution

The fourth proportional to 649.40, 896.28 and 369.64 is: 510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 896.28 = 369.64 : x
  2. Step 2: Convert to fraction form
    649.40/896.28 = 369.64/x
  3. Step 3: Cross multiply
    649.40x = 896.28 × 369.64
  4. Step 4: Simplify right side
    649.40x = 331,300.94
  5. Step 5: Solve for x
    x = 331,300.94/649.40
  6. Step 6: Final answer
    x = 510.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.