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Finding the Fourth Proportional to 594.20, 890.25 and 520.25

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Solution

The fourth proportional to 594.20, 890.25 and 520.25 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.20 : 890.25 = 520.25 : x
  2. Step 2: Convert to fraction form
    594.20/890.25 = 520.25/x
  3. Step 3: Cross multiply
    594.20x = 890.25 × 520.25
  4. Step 4: Simplify right side
    594.20x = 463,152.56
  5. Step 5: Solve for x
    x = 463,152.56/594.20
  6. Step 6: Final answer
    x = 779.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.