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Finding the Fourth Proportional to 957.05, 1,435.58 and 307.70

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Solution

The fourth proportional to 957.05, 1,435.58 and 307.70 is: 461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.05 : 1,435.58 = 307.70 : x
  2. Step 2: Convert to fraction form
    957.05/1,435.58 = 307.70/x
  3. Step 3: Cross multiply
    957.05x = 1,435.58 × 307.70
  4. Step 4: Simplify right side
    957.05x = 441,727.97
  5. Step 5: Solve for x
    x = 441,727.97/957.05
  6. Step 6: Final answer
    x = 461.55

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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.