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Finding the Fourth Proportional to 596.85, 894.93 and 231.36

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Solution

The fourth proportional to 596.85, 894.93 and 231.36 is: 346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 894.93 = 231.36 : x
  2. Step 2: Convert to fraction form
    596.85/894.93 = 231.36/x
  3. Step 3: Cross multiply
    596.85x = 894.93 × 231.36
  4. Step 4: Simplify right side
    596.85x = 207,051.00
  5. Step 5: Solve for x
    x = 207,051.00/596.85
  6. Step 6: Final answer
    x = 346.91

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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.