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Finding the Fourth Proportional to 596.05, 894.38 and 284.05

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Solution

The fourth proportional to 596.05, 894.38 and 284.05 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.05 : 894.38 = 284.05 : x
  2. Step 2: Convert to fraction form
    596.05/894.38 = 284.05/x
  3. Step 3: Cross multiply
    596.05x = 894.38 × 284.05
  4. Step 4: Simplify right side
    596.05x = 254,048.64
  5. Step 5: Solve for x
    x = 254,048.64/596.05
  6. Step 6: Final answer
    x = 426.22

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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.