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Finding the Fourth Proportional to 649.16, 895.85 and 369.39

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Solution

The fourth proportional to 649.16, 895.85 and 369.39 is: 509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.16 : 895.85 = 369.39 : x
  2. Step 2: Convert to fraction form
    649.16/895.85 = 369.39/x
  3. Step 3: Cross multiply
    649.16x = 895.85 × 369.39
  4. Step 4: Simplify right side
    649.16x = 330,916.18
  5. Step 5: Solve for x
    x = 330,916.18/649.16
  6. Step 6: Final answer
    x = 509.76

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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.