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Finding the Fourth Proportional to 958.45, 1,438.08 and 410.89

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Solution

The fourth proportional to 958.45, 1,438.08 and 410.89 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.45 : 1,438.08 = 410.89 : x
  2. Step 2: Convert to fraction form
    958.45/1,438.08 = 410.89/x
  3. Step 3: Cross multiply
    958.45x = 1,438.08 × 410.89
  4. Step 4: Simplify right side
    958.45x = 590,894.49
  5. Step 5: Solve for x
    x = 590,894.49/958.45
  6. Step 6: Final answer
    x = 616.51

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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.