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Finding the Fourth Proportional to 648.71, 895.71 and 427.97

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Solution

The fourth proportional to 648.71, 895.71 and 427.97 is: 590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.71 : 895.71 = 427.97 : x
  2. Step 2: Convert to fraction form
    648.71/895.71 = 427.97/x
  3. Step 3: Cross multiply
    648.71x = 895.71 × 427.97
  4. Step 4: Simplify right side
    648.71x = 383,337.01
  5. Step 5: Solve for x
    x = 383,337.01/648.71
  6. Step 6: Final answer
    x = 590.92

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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.