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Finding the Fourth Proportional to 596.94, 896.10 and 594.30

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Solution

The fourth proportional to 596.94, 896.10 and 594.30 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 896.10 = 594.30 : x
  2. Step 2: Convert to fraction form
    596.94/896.10 = 594.30/x
  3. Step 3: Cross multiply
    596.94x = 896.10 × 594.30
  4. Step 4: Simplify right side
    596.94x = 532,552.23
  5. Step 5: Solve for x
    x = 532,552.23/596.94
  6. Step 6: Final answer
    x = 892.14

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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.