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Finding the Fourth Proportional to 594.37, 890.02 and 412.12

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Solution

The fourth proportional to 594.37, 890.02 and 412.12 is: 617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.37 : 890.02 = 412.12 : x
  2. Step 2: Convert to fraction form
    594.37/890.02 = 412.12/x
  3. Step 3: Cross multiply
    594.37x = 890.02 × 412.12
  4. Step 4: Simplify right side
    594.37x = 366,795.04
  5. Step 5: Solve for x
    x = 366,795.04/594.37
  6. Step 6: Final answer
    x = 617.12

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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.