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Finding the Fourth Proportional to 605.42, 830.04 and 594.49

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Solution

The fourth proportional to 605.42, 830.04 and 594.49 is: 815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.42 : 830.04 = 594.49 : x
  2. Step 2: Convert to fraction form
    605.42/830.04 = 594.49/x
  3. Step 3: Cross multiply
    605.42x = 830.04 × 594.49
  4. Step 4: Simplify right side
    605.42x = 493,451.08
  5. Step 5: Solve for x
    x = 493,451.08/605.42
  6. Step 6: Final answer
    x = 815.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.