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Finding the Fourth Proportional to 596.88, 894.88 and 380.20

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Solution

The fourth proportional to 596.88, 894.88 and 380.20 is: 570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.88 : 894.88 = 380.20 : x
  2. Step 2: Convert to fraction form
    596.88/894.88 = 380.20/x
  3. Step 3: Cross multiply
    596.88x = 894.88 × 380.20
  4. Step 4: Simplify right side
    596.88x = 340,233.38
  5. Step 5: Solve for x
    x = 340,233.38/596.88
  6. Step 6: Final answer
    x = 570.02

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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.