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Finding the Fourth Proportional to 649.31, 895.95 and 369.56

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Solution

The fourth proportional to 649.31, 895.95 and 369.56 is: 509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.31 : 895.95 = 369.56 : x
  2. Step 2: Convert to fraction form
    649.31/895.95 = 369.56/x
  3. Step 3: Cross multiply
    649.31x = 895.95 × 369.56
  4. Step 4: Simplify right side
    649.31x = 331,106.16
  5. Step 5: Solve for x
    x = 331,106.16/649.31
  6. Step 6: Final answer
    x = 509.93

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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.