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Finding the Fourth Proportional to 648.59, 895.38 and 427.89

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Solution

The fourth proportional to 648.59, 895.38 and 427.89 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.59 : 895.38 = 427.89 : x
  2. Step 2: Convert to fraction form
    648.59/895.38 = 427.89/x
  3. Step 3: Cross multiply
    648.59x = 895.38 × 427.89
  4. Step 4: Simplify right side
    648.59x = 383,124.15
  5. Step 5: Solve for x
    x = 383,124.15/648.59
  6. Step 6: Final answer
    x = 590.71

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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.