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Finding the Fourth Proportional to 957.39, 1,436.23 and 307.97

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Solution

The fourth proportional to 957.39, 1,436.23 and 307.97 is: 462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.39 : 1,436.23 = 307.97 : x
  2. Step 2: Convert to fraction form
    957.39/1,436.23 = 307.97/x
  3. Step 3: Cross multiply
    957.39x = 1,436.23 × 307.97
  4. Step 4: Simplify right side
    957.39x = 442,314.34
  5. Step 5: Solve for x
    x = 442,314.34/957.39
  6. Step 6: Final answer
    x = 462.00

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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.