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Finding the Fourth Proportional to 596.35, 894.73 and 391.02

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Solution

The fourth proportional to 596.35, 894.73 and 391.02 is: 586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 894.73 = 391.02 : x
  2. Step 2: Convert to fraction form
    596.35/894.73 = 391.02/x
  3. Step 3: Cross multiply
    596.35x = 894.73 × 391.02
  4. Step 4: Simplify right side
    596.35x = 349,857.32
  5. Step 5: Solve for x
    x = 349,857.32/596.35
  6. Step 6: Final answer
    x = 586.66

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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.