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Finding the Fourth Proportional to 594.93, 891.90 and 412.68

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Solution

The fourth proportional to 594.93, 891.90 and 412.68 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.93 : 891.90 = 412.68 : x
  2. Step 2: Convert to fraction form
    594.93/891.90 = 412.68/x
  3. Step 3: Cross multiply
    594.93x = 891.90 × 412.68
  4. Step 4: Simplify right side
    594.93x = 368,069.29
  5. Step 5: Solve for x
    x = 368,069.29/594.93
  6. Step 6: Final answer
    x = 618.68

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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.