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Finding the Fourth Proportional to 957.09, 1,435.77 and 307.92

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Solution

The fourth proportional to 957.09, 1,435.77 and 307.92 is: 461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.09 : 1,435.77 = 307.92 : x
  2. Step 2: Convert to fraction form
    957.09/1,435.77 = 307.92/x
  3. Step 3: Cross multiply
    957.09x = 1,435.77 × 307.92
  4. Step 4: Simplify right side
    957.09x = 442,102.30
  5. Step 5: Solve for x
    x = 442,102.30/957.09
  6. Step 6: Final answer
    x = 461.92

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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.