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Finding the Fourth Proportional to 657.82, 907.80 and 363.09

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Solution

The fourth proportional to 657.82, 907.80 and 363.09 is: 501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.82 : 907.80 = 363.09 : x
  2. Step 2: Convert to fraction form
    657.82/907.80 = 363.09/x
  3. Step 3: Cross multiply
    657.82x = 907.80 × 363.09
  4. Step 4: Simplify right side
    657.82x = 329,615.14
  5. Step 5: Solve for x
    x = 329,615.14/657.82
  6. Step 6: Final answer
    x = 501.07

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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.