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Finding the Fourth Proportional to 585.40, 806.88 and 410.44

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Solution

The fourth proportional to 585.40, 806.88 and 410.44 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.40 : 806.88 = 410.44 : x
  2. Step 2: Convert to fraction form
    585.40/806.88 = 410.44/x
  3. Step 3: Cross multiply
    585.40x = 806.88 × 410.44
  4. Step 4: Simplify right side
    585.40x = 331,175.83
  5. Step 5: Solve for x
    x = 331,175.83/585.40
  6. Step 6: Final answer
    x = 565.73

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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.