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Finding the Fourth Proportional to 957.42, 1,436.31 and 307.98

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Solution

The fourth proportional to 957.42, 1,436.31 and 307.98 is: 462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.42 : 1,436.31 = 307.98 : x
  2. Step 2: Convert to fraction form
    957.42/1,436.31 = 307.98/x
  3. Step 3: Cross multiply
    957.42x = 1,436.31 × 307.98
  4. Step 4: Simplify right side
    957.42x = 442,354.75
  5. Step 5: Solve for x
    x = 442,354.75/957.42
  6. Step 6: Final answer
    x = 462.03

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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.