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Finding the Fourth Proportional to 596.57, 888.47 and 556.47

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Solution

The fourth proportional to 596.57, 888.47 and 556.47 is: 828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.57 : 888.47 = 556.47 : x
  2. Step 2: Convert to fraction form
    596.57/888.47 = 556.47/x
  3. Step 3: Cross multiply
    596.57x = 888.47 × 556.47
  4. Step 4: Simplify right side
    596.57x = 494,406.21
  5. Step 5: Solve for x
    x = 494,406.21/596.57
  6. Step 6: Final answer
    x = 828.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.