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Finding the Fourth Proportional to 594.20, 889.68 and 305.06

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Solution

The fourth proportional to 594.20, 889.68 and 305.06 is: 456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.20 : 889.68 = 305.06 : x
  2. Step 2: Convert to fraction form
    594.20/889.68 = 305.06/x
  3. Step 3: Cross multiply
    594.20x = 889.68 × 305.06
  4. Step 4: Simplify right side
    594.20x = 271,405.78
  5. Step 5: Solve for x
    x = 271,405.78/594.20
  6. Step 6: Final answer
    x = 456.76

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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.