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Finding the Fourth Proportional to 657.51, 907.82 and 408.88

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Solution

The fourth proportional to 657.51, 907.82 and 408.88 is: 564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.51 : 907.82 = 408.88 : x
  2. Step 2: Convert to fraction form
    657.51/907.82 = 408.88/x
  3. Step 3: Cross multiply
    657.51x = 907.82 × 408.88
  4. Step 4: Simplify right side
    657.51x = 371,189.44
  5. Step 5: Solve for x
    x = 371,189.44/657.51
  6. Step 6: Final answer
    x = 564.54

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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.