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Finding the Fourth Proportional to 596.76, 893.59 and 412.23

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Solution

The fourth proportional to 596.76, 893.59 and 412.23 is: 617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 893.59 = 412.23 : x
  2. Step 2: Convert to fraction form
    596.76/893.59 = 412.23/x
  3. Step 3: Cross multiply
    596.76x = 893.59 × 412.23
  4. Step 4: Simplify right side
    596.76x = 368,364.61
  5. Step 5: Solve for x
    x = 368,364.61/596.76
  6. Step 6: Final answer
    x = 617.27

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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.