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Finding the Fourth Proportional to 957.12, 1,434.96 and 307.44

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Solution

The fourth proportional to 957.12, 1,434.96 and 307.44 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.12 : 1,434.96 = 307.44 : x
  2. Step 2: Convert to fraction form
    957.12/1,434.96 = 307.44/x
  3. Step 3: Cross multiply
    957.12x = 1,434.96 × 307.44
  4. Step 4: Simplify right side
    957.12x = 441,164.10
  5. Step 5: Solve for x
    x = 441,164.10/957.12
  6. Step 6: Final answer
    x = 460.93

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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.