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Finding the Fourth Proportional to 958.90, 1,438.35 and 310.09

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Solution

The fourth proportional to 958.90, 1,438.35 and 310.09 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.90 : 1,438.35 = 310.09 : x
  2. Step 2: Convert to fraction form
    958.90/1,438.35 = 310.09/x
  3. Step 3: Cross multiply
    958.90x = 1,438.35 × 310.09
  4. Step 4: Simplify right side
    958.90x = 446,017.95
  5. Step 5: Solve for x
    x = 446,017.95/958.90
  6. Step 6: Final answer
    x = 465.14

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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.