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Finding the Fourth Proportional to 306.39, 459.59 and 89.98

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Solution

The fourth proportional to 306.39, 459.59 and 89.98 is: 134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.39 : 459.59 = 89.98 : x
  2. Step 2: Convert to fraction form
    306.39/459.59 = 89.98/x
  3. Step 3: Cross multiply
    306.39x = 459.59 × 89.98
  4. Step 4: Simplify right side
    306.39x = 41,351.84
  5. Step 5: Solve for x
    x = 41,351.84/306.39
  6. Step 6: Final answer
    x = 134.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.