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Finding the Fourth Proportional to 647.96, 972.04 and 231.46

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Solution

The fourth proportional to 647.96, 972.04 and 231.46 is: 347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.96 : 972.04 = 231.46 : x
  2. Step 2: Convert to fraction form
    647.96/972.04 = 231.46/x
  3. Step 3: Cross multiply
    647.96x = 972.04 × 231.46
  4. Step 4: Simplify right side
    647.96x = 224,986.06
  5. Step 5: Solve for x
    x = 224,986.06/647.96
  6. Step 6: Final answer
    x = 347.22

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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.