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Finding the Fourth Proportional to 596.50, 894.61 and 303.69

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Solution

The fourth proportional to 596.50, 894.61 and 303.69 is: 455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 894.61 = 303.69 : x
  2. Step 2: Convert to fraction form
    596.50/894.61 = 303.69/x
  3. Step 3: Cross multiply
    596.50x = 894.61 × 303.69
  4. Step 4: Simplify right side
    596.50x = 271,679.64
  5. Step 5: Solve for x
    x = 271,679.64/596.50
  6. Step 6: Final answer
    x = 455.46

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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.