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Finding the Fourth Proportional to 594.39, 890.70 and 228.75

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Solution

The fourth proportional to 594.39, 890.70 and 228.75 is: 342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.39 : 890.70 = 228.75 : x
  2. Step 2: Convert to fraction form
    594.39/890.70 = 228.75/x
  3. Step 3: Cross multiply
    594.39x = 890.70 × 228.75
  4. Step 4: Simplify right side
    594.39x = 203,747.63
  5. Step 5: Solve for x
    x = 203,747.63/594.39
  6. Step 6: Final answer
    x = 342.78

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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.