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Finding the Fourth Proportional to 596.16, 890.60 and 574.56

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Solution

The fourth proportional to 596.16, 890.60 and 574.56 is: 858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.16 : 890.60 = 574.56 : x
  2. Step 2: Convert to fraction form
    596.16/890.60 = 574.56/x
  3. Step 3: Cross multiply
    596.16x = 890.60 × 574.56
  4. Step 4: Simplify right side
    596.16x = 511,700.26
  5. Step 5: Solve for x
    x = 511,700.26/596.16
  6. Step 6: Final answer
    x = 858.33

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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.