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Finding the Fourth Proportional to 649.99, 896.84 and 370.19

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Solution

The fourth proportional to 649.99, 896.84 and 370.19 is: 510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.99 : 896.84 = 370.19 : x
  2. Step 2: Convert to fraction form
    649.99/896.84 = 370.19/x
  3. Step 3: Cross multiply
    649.99x = 896.84 × 370.19
  4. Step 4: Simplify right side
    649.99x = 331,997.93
  5. Step 5: Solve for x
    x = 331,997.93/649.99
  6. Step 6: Final answer
    x = 510.77

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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.