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Finding the Fourth Proportional to 958.93, 1,438.02 and 410.96

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Solution

The fourth proportional to 958.93, 1,438.02 and 410.96 is: 616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.93 : 1,438.02 = 410.96 : x
  2. Step 2: Convert to fraction form
    958.93/1,438.02 = 410.96/x
  3. Step 3: Cross multiply
    958.93x = 1,438.02 × 410.96
  4. Step 4: Simplify right side
    958.93x = 590,972.29
  5. Step 5: Solve for x
    x = 590,972.29/958.93
  6. Step 6: Final answer
    x = 616.28

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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.