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Finding the Fourth Proportional to 649.35, 895.98 and 369.57

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Solution

The fourth proportional to 649.35, 895.98 and 369.57 is: 509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.35 : 895.98 = 369.57 : x
  2. Step 2: Convert to fraction form
    649.35/895.98 = 369.57/x
  3. Step 3: Cross multiply
    649.35x = 895.98 × 369.57
  4. Step 4: Simplify right side
    649.35x = 331,127.33
  5. Step 5: Solve for x
    x = 331,127.33/649.35
  6. Step 6: Final answer
    x = 509.94

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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.