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Finding the Fourth Proportional to 657.62, 907.06 and 447.68

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Solution

The fourth proportional to 657.62, 907.06 and 447.68 is: 617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.62 : 907.06 = 447.68 : x
  2. Step 2: Convert to fraction form
    657.62/907.06 = 447.68/x
  3. Step 3: Cross multiply
    657.62x = 907.06 × 447.68
  4. Step 4: Simplify right side
    657.62x = 406,072.62
  5. Step 5: Solve for x
    x = 406,072.62/657.62
  6. Step 6: Final answer
    x = 617.49

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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.