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Finding the Fourth Proportional to 594.51, 890.90 and 228.86

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Solution

The fourth proportional to 594.51, 890.90 and 228.86 is: 342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.51 : 890.90 = 228.86 : x
  2. Step 2: Convert to fraction form
    594.51/890.90 = 228.86/x
  3. Step 3: Cross multiply
    594.51x = 890.90 × 228.86
  4. Step 4: Simplify right side
    594.51x = 203,889.97
  5. Step 5: Solve for x
    x = 203,889.97/594.51
  6. Step 6: Final answer
    x = 342.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.