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Finding the Fourth Proportional to 596.08, 893.22 and 457.84

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Solution

The fourth proportional to 596.08, 893.22 and 457.84 is: 686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.08 : 893.22 = 457.84 : x
  2. Step 2: Convert to fraction form
    596.08/893.22 = 457.84/x
  3. Step 3: Cross multiply
    596.08x = 893.22 × 457.84
  4. Step 4: Simplify right side
    596.08x = 408,951.84
  5. Step 5: Solve for x
    x = 408,951.84/596.08
  6. Step 6: Final answer
    x = 686.07

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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.