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Finding the Fourth Proportional to 648.56, 895.42 and 416.09

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Solution

The fourth proportional to 648.56, 895.42 and 416.09 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 895.42 = 416.09 : x
  2. Step 2: Convert to fraction form
    648.56/895.42 = 416.09/x
  3. Step 3: Cross multiply
    648.56x = 895.42 × 416.09
  4. Step 4: Simplify right side
    648.56x = 372,578.07
  5. Step 5: Solve for x
    x = 372,578.07/648.56
  6. Step 6: Final answer
    x = 574.47

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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.