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Finding the Fourth Proportional to 956.40, 1,434.60 and 263.07

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Solution

The fourth proportional to 956.40, 1,434.60 and 263.07 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.40 : 1,434.60 = 263.07 : x
  2. Step 2: Convert to fraction form
    956.40/1,434.60 = 263.07/x
  3. Step 3: Cross multiply
    956.40x = 1,434.60 × 263.07
  4. Step 4: Simplify right side
    956.40x = 377,400.22
  5. Step 5: Solve for x
    x = 377,400.22/956.40
  6. Step 6: Final answer
    x = 394.61

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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.