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Finding the Fourth Proportional to 955.94, 1,434.12 and 306.74

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Solution

The fourth proportional to 955.94, 1,434.12 and 306.74 is: 460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.94 : 1,434.12 = 306.74 : x
  2. Step 2: Convert to fraction form
    955.94/1,434.12 = 306.74/x
  3. Step 3: Cross multiply
    955.94x = 1,434.12 × 306.74
  4. Step 4: Simplify right side
    955.94x = 439,901.97
  5. Step 5: Solve for x
    x = 439,901.97/955.94
  6. Step 6: Final answer
    x = 460.18

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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.