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Finding the Fourth Proportional to 649.06, 895.70 and 354.33

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Solution

The fourth proportional to 649.06, 895.70 and 354.33 is: 488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.06 : 895.70 = 354.33 : x
  2. Step 2: Convert to fraction form
    649.06/895.70 = 354.33/x
  3. Step 3: Cross multiply
    649.06x = 895.70 × 354.33
  4. Step 4: Simplify right side
    649.06x = 317,374.27
  5. Step 5: Solve for x
    x = 317,374.27/649.06
  6. Step 6: Final answer
    x = 488.98

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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.