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Finding the Fourth Proportional to 594.37, 891.64 and 411.38

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Solution

The fourth proportional to 594.37, 891.64 and 411.38 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.37 : 891.64 = 411.38 : x
  2. Step 2: Convert to fraction form
    594.37/891.64 = 411.38/x
  3. Step 3: Cross multiply
    594.37x = 891.64 × 411.38
  4. Step 4: Simplify right side
    594.37x = 366,802.26
  5. Step 5: Solve for x
    x = 366,802.26/594.37
  6. Step 6: Final answer
    x = 617.13

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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.