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Finding the Fourth Proportional to 594.21, 889.74 and 410.79

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Solution

The fourth proportional to 594.21, 889.74 and 410.79 is: 615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.21 : 889.74 = 410.79 : x
  2. Step 2: Convert to fraction form
    594.21/889.74 = 410.79/x
  3. Step 3: Cross multiply
    594.21x = 889.74 × 410.79
  4. Step 4: Simplify right side
    594.21x = 365,496.29
  5. Step 5: Solve for x
    x = 365,496.29/594.21
  6. Step 6: Final answer
    x = 615.10

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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.