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Finding the Fourth Proportional to 649.27, 895.32 and 427.94

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Solution

The fourth proportional to 649.27, 895.32 and 427.94 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 895.32 = 427.94 : x
  2. Step 2: Convert to fraction form
    649.27/895.32 = 427.94/x
  3. Step 3: Cross multiply
    649.27x = 895.32 × 427.94
  4. Step 4: Simplify right side
    649.27x = 383,143.24
  5. Step 5: Solve for x
    x = 383,143.24/649.27
  6. Step 6: Final answer
    x = 590.11

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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.