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Finding the Fourth Proportional to 594, 890.67 and 183.09

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Solution

The fourth proportional to 594, 890.67 and 183.09 is: 274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594 : 890.67 = 183.09 : x
  2. Step 2: Convert to fraction form
    594/890.67 = 183.09/x
  3. Step 3: Cross multiply
    594x = 890.67 × 183.09
  4. Step 4: Simplify right side
    594x = 163,072.77
  5. Step 5: Solve for x
    x = 163,072.77/594
  6. Step 6: Final answer
    x = 274.53

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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.