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Finding the Fourth Proportional to 657.78, 908.02 and 409.44

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Solution

The fourth proportional to 657.78, 908.02 and 409.44 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 908.02 = 409.44 : x
  2. Step 2: Convert to fraction form
    657.78/908.02 = 409.44/x
  3. Step 3: Cross multiply
    657.78x = 908.02 × 409.44
  4. Step 4: Simplify right side
    657.78x = 371,779.71
  5. Step 5: Solve for x
    x = 371,779.71/657.78
  6. Step 6: Final answer
    x = 565.20

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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.