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Finding the Fourth Proportional to 958.79, 1,438.35 and 309.68

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Solution

The fourth proportional to 958.79, 1,438.35 and 309.68 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.79 : 1,438.35 = 309.68 : x
  2. Step 2: Convert to fraction form
    958.79/1,438.35 = 309.68/x
  3. Step 3: Cross multiply
    958.79x = 1,438.35 × 309.68
  4. Step 4: Simplify right side
    958.79x = 445,428.23
  5. Step 5: Solve for x
    x = 445,428.23/958.79
  6. Step 6: Final answer
    x = 464.57

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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.