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Finding the Fourth Proportional to 657.99, 908.06 and 409.32

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Solution

The fourth proportional to 657.99, 908.06 and 409.32 is: 564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.99 : 908.06 = 409.32 : x
  2. Step 2: Convert to fraction form
    657.99/908.06 = 409.32/x
  3. Step 3: Cross multiply
    657.99x = 908.06 × 409.32
  4. Step 4: Simplify right side
    657.99x = 371,685.07
  5. Step 5: Solve for x
    x = 371,685.07/657.99
  6. Step 6: Final answer
    x = 564.88

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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.