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Finding the Fourth Proportional to 585.24, 878.37 and 494.00

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Solution

The fourth proportional to 585.24, 878.37 and 494.00 is: 741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.24 : 878.37 = 494.00 : x
  2. Step 2: Convert to fraction form
    585.24/878.37 = 494.00/x
  3. Step 3: Cross multiply
    585.24x = 878.37 × 494.00
  4. Step 4: Simplify right side
    585.24x = 433,916.98
  5. Step 5: Solve for x
    x = 433,916.98/585.24
  6. Step 6: Final answer
    x = 741.43

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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.