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Finding the Fourth Proportional to 594.54, 890.52 and 490.68

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Solution

The fourth proportional to 594.54, 890.52 and 490.68 is: 734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.54 : 890.52 = 490.68 : x
  2. Step 2: Convert to fraction form
    594.54/890.52 = 490.68/x
  3. Step 3: Cross multiply
    594.54x = 890.52 × 490.68
  4. Step 4: Simplify right side
    594.54x = 436,960.35
  5. Step 5: Solve for x
    x = 436,960.35/594.54
  6. Step 6: Final answer
    x = 734.96

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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.