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Finding the Fourth Proportional to 594.45, 890.67 and 286.23

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Solution

The fourth proportional to 594.45, 890.67 and 286.23 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.45 : 890.67 = 286.23 : x
  2. Step 2: Convert to fraction form
    594.45/890.67 = 286.23/x
  3. Step 3: Cross multiply
    594.45x = 890.67 × 286.23
  4. Step 4: Simplify right side
    594.45x = 254,936.47
  5. Step 5: Solve for x
    x = 254,936.47/594.45
  6. Step 6: Final answer
    x = 428.86

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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.