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Finding the Fourth Proportional to 706.49, 1,059.72 and 316.38

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Solution

The fourth proportional to 706.49, 1,059.72 and 316.38 is: 474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.49 : 1,059.72 = 316.38 : x
  2. Step 2: Convert to fraction form
    706.49/1,059.72 = 316.38/x
  3. Step 3: Cross multiply
    706.49x = 1,059.72 × 316.38
  4. Step 4: Simplify right side
    706.49x = 335,277.00
  5. Step 5: Solve for x
    x = 335,277.00/706.49
  6. Step 6: Final answer
    x = 474.57

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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.