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Finding the Fourth Proportional to 657.96, 985.60 and 410.35

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Solution

The fourth proportional to 657.96, 985.60 and 410.35 is: 614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 985.60 = 410.35 : x
  2. Step 2: Convert to fraction form
    657.96/985.60 = 410.35/x
  3. Step 3: Cross multiply
    657.96x = 985.60 × 410.35
  4. Step 4: Simplify right side
    657.96x = 404,440.96
  5. Step 5: Solve for x
    x = 404,440.96/657.96
  6. Step 6: Final answer
    x = 614.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.