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Finding the Fourth Proportional to 958.36, 1,437.38 and 264.86

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Solution

The fourth proportional to 958.36, 1,437.38 and 264.86 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.36 : 1,437.38 = 264.86 : x
  2. Step 2: Convert to fraction form
    958.36/1,437.38 = 264.86/x
  3. Step 3: Cross multiply
    958.36x = 1,437.38 × 264.86
  4. Step 4: Simplify right side
    958.36x = 380,704.47
  5. Step 5: Solve for x
    x = 380,704.47/958.36
  6. Step 6: Final answer
    x = 397.25

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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.