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Finding the Fourth Proportional to 431.92, 648.40 and 410.38

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Solution

The fourth proportional to 431.92, 648.40 and 410.38 is: 616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.92 : 648.40 = 410.38 : x
  2. Step 2: Convert to fraction form
    431.92/648.40 = 410.38/x
  3. Step 3: Cross multiply
    431.92x = 648.40 × 410.38
  4. Step 4: Simplify right side
    431.92x = 266,090.39
  5. Step 5: Solve for x
    x = 266,090.39/431.92
  6. Step 6: Final answer
    x = 616.06

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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.