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Finding the Fourth Proportional to 594.87, 890.91 and 578.46

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Solution

The fourth proportional to 594.87, 890.91 and 578.46 is: 866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.87 : 890.91 = 578.46 : x
  2. Step 2: Convert to fraction form
    594.87/890.91 = 578.46/x
  3. Step 3: Cross multiply
    594.87x = 890.91 × 578.46
  4. Step 4: Simplify right side
    594.87x = 515,355.80
  5. Step 5: Solve for x
    x = 515,355.80/594.87
  6. Step 6: Final answer
    x = 866.33

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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.