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Finding the Fourth Proportional to 594.98, 891.96 and 230.02

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Solution

The fourth proportional to 594.98, 891.96 and 230.02 is: 344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.98 : 891.96 = 230.02 : x
  2. Step 2: Convert to fraction form
    594.98/891.96 = 230.02/x
  3. Step 3: Cross multiply
    594.98x = 891.96 × 230.02
  4. Step 4: Simplify right side
    594.98x = 205,165.55
  5. Step 5: Solve for x
    x = 205,165.55/594.98
  6. Step 6: Final answer
    x = 344.83

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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.