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Finding the Fourth Proportional to 657.69, 907.82 and 421.68

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Solution

The fourth proportional to 657.69, 907.82 and 421.68 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.69 : 907.82 = 421.68 : x
  2. Step 2: Convert to fraction form
    657.69/907.82 = 421.68/x
  3. Step 3: Cross multiply
    657.69x = 907.82 × 421.68
  4. Step 4: Simplify right side
    657.69x = 382,805.61
  5. Step 5: Solve for x
    x = 382,805.61/657.69
  6. Step 6: Final answer
    x = 582.05

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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.