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Finding the Fourth Proportional to 958.50, 1,437.66 and 309.24

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Solution

The fourth proportional to 958.50, 1,437.66 and 309.24 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.50 : 1,437.66 = 309.24 : x
  2. Step 2: Convert to fraction form
    958.50/1,437.66 = 309.24/x
  3. Step 3: Cross multiply
    958.50x = 1,437.66 × 309.24
  4. Step 4: Simplify right side
    958.50x = 444,581.98
  5. Step 5: Solve for x
    x = 444,581.98/958.50
  6. Step 6: Final answer
    x = 463.83

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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.