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Finding the Fourth Proportional to 657.30, 906.76 and 435.97

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Solution

The fourth proportional to 657.30, 906.76 and 435.97 is: 601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 906.76 = 435.97 : x
  2. Step 2: Convert to fraction form
    657.30/906.76 = 435.97/x
  3. Step 3: Cross multiply
    657.30x = 906.76 × 435.97
  4. Step 4: Simplify right side
    657.30x = 395,320.16
  5. Step 5: Solve for x
    x = 395,320.16/657.30
  6. Step 6: Final answer
    x = 601.43

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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.