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Finding the Fourth Proportional to 957.96, 1,437.02 and 308.52

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Solution

The fourth proportional to 957.96, 1,437.02 and 308.52 is: 462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.96 : 1,437.02 = 308.52 : x
  2. Step 2: Convert to fraction form
    957.96/1,437.02 = 308.52/x
  3. Step 3: Cross multiply
    957.96x = 1,437.02 × 308.52
  4. Step 4: Simplify right side
    957.96x = 443,349.41
  5. Step 5: Solve for x
    x = 443,349.41/957.96
  6. Step 6: Final answer
    x = 462.81

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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.