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Finding the Fourth Proportional to 431.91, 648.39 and 410.39

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Solution

The fourth proportional to 431.91, 648.39 and 410.39 is: 616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.91 : 648.39 = 410.39 : x
  2. Step 2: Convert to fraction form
    431.91/648.39 = 410.39/x
  3. Step 3: Cross multiply
    431.91x = 648.39 × 410.39
  4. Step 4: Simplify right side
    431.91x = 266,092.77
  5. Step 5: Solve for x
    x = 266,092.77/431.91
  6. Step 6: Final answer
    x = 616.08

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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.