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Finding the Fourth Proportional to 957.41, 1,435.20 and 307.69

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Solution

The fourth proportional to 957.41, 1,435.20 and 307.69 is: 461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.41 : 1,435.20 = 307.69 : x
  2. Step 2: Convert to fraction form
    957.41/1,435.20 = 307.69/x
  3. Step 3: Cross multiply
    957.41x = 1,435.20 × 307.69
  4. Step 4: Simplify right side
    957.41x = 441,593.68
  5. Step 5: Solve for x
    x = 441,593.68/957.41
  6. Step 6: Final answer
    x = 461.24

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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.