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Finding the Fourth Proportional to 614.33, 844.24 and 585.77

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Solution

The fourth proportional to 614.33, 844.24 and 585.77 is: 805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.33 : 844.24 = 585.77 : x
  2. Step 2: Convert to fraction form
    614.33/844.24 = 585.77/x
  3. Step 3: Cross multiply
    614.33x = 844.24 × 585.77
  4. Step 4: Simplify right side
    614.33x = 494,531.11
  5. Step 5: Solve for x
    x = 494,531.11/614.33
  6. Step 6: Final answer
    x = 805.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.