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Finding the Fourth Proportional to 649.05, 895.37 and 427.92

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Solution

The fourth proportional to 649.05, 895.37 and 427.92 is: 590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.05 : 895.37 = 427.92 : x
  2. Step 2: Convert to fraction form
    649.05/895.37 = 427.92/x
  3. Step 3: Cross multiply
    649.05x = 895.37 × 427.92
  4. Step 4: Simplify right side
    649.05x = 383,146.73
  5. Step 5: Solve for x
    x = 383,146.73/649.05
  6. Step 6: Final answer
    x = 590.32

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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.