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Finding the Fourth Proportional to 657.09, 906.17 and 395.01

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Solution

The fourth proportional to 657.09, 906.17 and 395.01 is: 544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.09 : 906.17 = 395.01 : x
  2. Step 2: Convert to fraction form
    657.09/906.17 = 395.01/x
  3. Step 3: Cross multiply
    657.09x = 906.17 × 395.01
  4. Step 4: Simplify right side
    657.09x = 357,944.24
  5. Step 5: Solve for x
    x = 357,944.24/657.09
  6. Step 6: Final answer
    x = 544.74

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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.