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Finding the Fourth Proportional to 649.10, 895.25 and 427.97

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Solution

The fourth proportional to 649.10, 895.25 and 427.97 is: 590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 895.25 = 427.97 : x
  2. Step 2: Convert to fraction form
    649.10/895.25 = 427.97/x
  3. Step 3: Cross multiply
    649.10x = 895.25 × 427.97
  4. Step 4: Simplify right side
    649.10x = 383,133.53
  5. Step 5: Solve for x
    x = 383,133.53/649.10
  6. Step 6: Final answer
    x = 590.26

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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.