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Finding the Fourth Proportional to 596.20, 893.34 and 473.80

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Solution

The fourth proportional to 596.20, 893.34 and 473.80 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.20 : 893.34 = 473.80 : x
  2. Step 2: Convert to fraction form
    596.20/893.34 = 473.80/x
  3. Step 3: Cross multiply
    596.20x = 893.34 × 473.80
  4. Step 4: Simplify right side
    596.20x = 423,264.49
  5. Step 5: Solve for x
    x = 423,264.49/596.20
  6. Step 6: Final answer
    x = 709.94

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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.