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Finding the Fourth Proportional to 958.49, 1,437.93 and 410.75

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Solution

The fourth proportional to 958.49, 1,437.93 and 410.75 is: 616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.49 : 1,437.93 = 410.75 : x
  2. Step 2: Convert to fraction form
    958.49/1,437.93 = 410.75/x
  3. Step 3: Cross multiply
    958.49x = 1,437.93 × 410.75
  4. Step 4: Simplify right side
    958.49x = 590,622.56
  5. Step 5: Solve for x
    x = 590,622.56/958.49
  6. Step 6: Final answer
    x = 616.20

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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.