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Finding the Fourth Proportional to 594.12, 889.14 and 411.06

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Solution

The fourth proportional to 594.12, 889.14 and 411.06 is: 615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 889.14 = 411.06 : x
  2. Step 2: Convert to fraction form
    594.12/889.14 = 411.06/x
  3. Step 3: Cross multiply
    594.12x = 889.14 × 411.06
  4. Step 4: Simplify right side
    594.12x = 365,489.89
  5. Step 5: Solve for x
    x = 365,489.89/594.12
  6. Step 6: Final answer
    x = 615.18

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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.