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Finding the Fourth Proportional to 649.07, 895.75 and 369.38

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Solution

The fourth proportional to 649.07, 895.75 and 369.38 is: 509.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.07 : 895.75 = 369.38 : x
  2. Step 2: Convert to fraction form
    649.07/895.75 = 369.38/x
  3. Step 3: Cross multiply
    649.07x = 895.75 × 369.38
  4. Step 4: Simplify right side
    649.07x = 330,865.81
  5. Step 5: Solve for x
    x = 330,865.81/649.07
  6. Step 6: Final answer
    x = 509.75

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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.