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Finding the Fourth Proportional to 657.82, 907.63 and 395.79

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Solution

The fourth proportional to 657.82, 907.63 and 395.79 is: 546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.82 : 907.63 = 395.79 : x
  2. Step 2: Convert to fraction form
    657.82/907.63 = 395.79/x
  3. Step 3: Cross multiply
    657.82x = 907.63 × 395.79
  4. Step 4: Simplify right side
    657.82x = 359,230.88
  5. Step 5: Solve for x
    x = 359,230.88/657.82
  6. Step 6: Final answer
    x = 546.09

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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.