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Finding the Fourth Proportional to 301.71, 450.59 and 260.25

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Solution

The fourth proportional to 301.71, 450.59 and 260.25 is: 388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.71 : 450.59 = 260.25 : x
  2. Step 2: Convert to fraction form
    301.71/450.59 = 260.25/x
  3. Step 3: Cross multiply
    301.71x = 450.59 × 260.25
  4. Step 4: Simplify right side
    301.71x = 117,266.05
  5. Step 5: Solve for x
    x = 117,266.05/301.71
  6. Step 6: Final answer
    x = 388.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.