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Finding the Fourth Proportional to 704.71, 972.30 and 495.46

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Solution

The fourth proportional to 704.71, 972.30 and 495.46 is: 683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.71 : 972.30 = 495.46 : x
  2. Step 2: Convert to fraction form
    704.71/972.30 = 495.46/x
  3. Step 3: Cross multiply
    704.71x = 972.30 × 495.46
  4. Step 4: Simplify right side
    704.71x = 481,735.76
  5. Step 5: Solve for x
    x = 481,735.76/704.71
  6. Step 6: Final answer
    x = 683.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.