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Finding the Fourth Proportional to 648.72, 895.20 and 427.78

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Solution

The fourth proportional to 648.72, 895.20 and 427.78 is: 590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.72 : 895.20 = 427.78 : x
  2. Step 2: Convert to fraction form
    648.72/895.20 = 427.78/x
  3. Step 3: Cross multiply
    648.72x = 895.20 × 427.78
  4. Step 4: Simplify right side
    648.72x = 382,948.66
  5. Step 5: Solve for x
    x = 382,948.66/648.72
  6. Step 6: Final answer
    x = 590.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.