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Finding the Fourth Proportional to 596.05, 893.61 and 412.91

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Solution

The fourth proportional to 596.05, 893.61 and 412.91 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.05 : 893.61 = 412.91 : x
  2. Step 2: Convert to fraction form
    596.05/893.61 = 412.91/x
  3. Step 3: Cross multiply
    596.05x = 893.61 × 412.91
  4. Step 4: Simplify right side
    596.05x = 368,980.51
  5. Step 5: Solve for x
    x = 368,980.51/596.05
  6. Step 6: Final answer
    x = 619.04

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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.