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Finding the Fourth Proportional to 596.85, 897.09 and 584.10

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Solution

The fourth proportional to 596.85, 897.09 and 584.10 is: 877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 897.09 = 584.10 : x
  2. Step 2: Convert to fraction form
    596.85/897.09 = 584.10/x
  3. Step 3: Cross multiply
    596.85x = 897.09 × 584.10
  4. Step 4: Simplify right side
    596.85x = 523,990.27
  5. Step 5: Solve for x
    x = 523,990.27/596.85
  6. Step 6: Final answer
    x = 877.93

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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.