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Finding the Fourth Proportional to 597.96, 890.64 and 566.46

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Solution

The fourth proportional to 597.96, 890.64 and 566.46 is: 843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 890.64 = 566.46 : x
  2. Step 2: Convert to fraction form
    597.96/890.64 = 566.46/x
  3. Step 3: Cross multiply
    597.96x = 890.64 × 566.46
  4. Step 4: Simplify right side
    597.96x = 504,511.93
  5. Step 5: Solve for x
    x = 504,511.93/597.96
  6. Step 6: Final answer
    x = 843.72

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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.