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Finding the Fourth Proportional to 594.93, 892.64 and 229.97

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Solution

The fourth proportional to 594.93, 892.64 and 229.97 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.93 : 892.64 = 229.97 : x
  2. Step 2: Convert to fraction form
    594.93/892.64 = 229.97/x
  3. Step 3: Cross multiply
    594.93x = 892.64 × 229.97
  4. Step 4: Simplify right side
    594.93x = 205,281.00
  5. Step 5: Solve for x
    x = 205,281.00/594.93
  6. Step 6: Final answer
    x = 345.05

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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.