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Finding the Fourth Proportional to 657.93, 907.95 and 363.20

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Solution

The fourth proportional to 657.93, 907.95 and 363.20 is: 501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.93 : 907.95 = 363.20 : x
  2. Step 2: Convert to fraction form
    657.93/907.95 = 363.20/x
  3. Step 3: Cross multiply
    657.93x = 907.95 × 363.20
  4. Step 4: Simplify right side
    657.93x = 329,768.12
  5. Step 5: Solve for x
    x = 329,768.12/657.93
  6. Step 6: Final answer
    x = 501.22

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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.