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Finding the Fourth Proportional to 657.83, 907.81 and 363.09

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Solution

The fourth proportional to 657.83, 907.81 and 363.09 is: 501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.83 : 907.81 = 363.09 : x
  2. Step 2: Convert to fraction form
    657.83/907.81 = 363.09/x
  3. Step 3: Cross multiply
    657.83x = 907.81 × 363.09
  4. Step 4: Simplify right side
    657.83x = 329,615.83
  5. Step 5: Solve for x
    x = 329,615.83/657.83
  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.