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Finding the Fourth Proportional to 597.88, 889.91 and 584.44

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Solution

The fourth proportional to 597.88, 889.91 and 584.44 is: 869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.88 : 889.91 = 584.44 : x
  2. Step 2: Convert to fraction form
    597.88/889.91 = 584.44/x
  3. Step 3: Cross multiply
    597.88x = 889.91 × 584.44
  4. Step 4: Simplify right side
    597.88x = 520,099.00
  5. Step 5: Solve for x
    x = 520,099.00/597.88
  6. Step 6: Final answer
    x = 869.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.