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Finding the Fourth Proportional to 594.51, 891.90 and 199.23

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Solution

The fourth proportional to 594.51, 891.90 and 199.23 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.51 : 891.90 = 199.23 : x
  2. Step 2: Convert to fraction form
    594.51/891.90 = 199.23/x
  3. Step 3: Cross multiply
    594.51x = 891.90 × 199.23
  4. Step 4: Simplify right side
    594.51x = 177,693.24
  5. Step 5: Solve for x
    x = 177,693.24/594.51
  6. Step 6: Final answer
    x = 298.89

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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.