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Finding the Fourth Proportional to 596.85, 897.30 and 476.43

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Solution

The fourth proportional to 596.85, 897.30 and 476.43 is: 716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 897.30 = 476.43 : x
  2. Step 2: Convert to fraction form
    596.85/897.30 = 476.43/x
  3. Step 3: Cross multiply
    596.85x = 897.30 × 476.43
  4. Step 4: Simplify right side
    596.85x = 427,500.64
  5. Step 5: Solve for x
    x = 427,500.64/596.85
  6. Step 6: Final answer
    x = 716.26

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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.