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Finding the Fourth Proportional to 601.90, 830.60 and 369.03

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Solution

The fourth proportional to 601.90, 830.60 and 369.03 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.90 : 830.60 = 369.03 : x
  2. Step 2: Convert to fraction form
    601.90/830.60 = 369.03/x
  3. Step 3: Cross multiply
    601.90x = 830.60 × 369.03
  4. Step 4: Simplify right side
    601.90x = 306,516.32
  5. Step 5: Solve for x
    x = 306,516.32/601.90
  6. Step 6: Final answer
    x = 509.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.