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Finding the Fourth Proportional to 649.11, 895.74 and 354.37

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Solution

The fourth proportional to 649.11, 895.74 and 354.37 is: 489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 895.74 = 354.37 : x
  2. Step 2: Convert to fraction form
    649.11/895.74 = 354.37/x
  3. Step 3: Cross multiply
    649.11x = 895.74 × 354.37
  4. Step 4: Simplify right side
    649.11x = 317,423.38
  5. Step 5: Solve for x
    x = 317,423.38/649.11
  6. Step 6: Final answer
    x = 489.01

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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.