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Finding the Fourth Proportional to 648.41, 970.70 and 428.63

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Solution

The fourth proportional to 648.41, 970.70 and 428.63 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.41 : 970.70 = 428.63 : x
  2. Step 2: Convert to fraction form
    648.41/970.70 = 428.63/x
  3. Step 3: Cross multiply
    648.41x = 970.70 × 428.63
  4. Step 4: Simplify right side
    648.41x = 416,064.14
  5. Step 5: Solve for x
    x = 416,064.14/648.41
  6. Step 6: Final answer
    x = 641.67

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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.