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Finding the Fourth Proportional to 648.02, 970.92 and 428.51

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Solution

The fourth proportional to 648.02, 970.92 and 428.51 is: 642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 970.92 = 428.51 : x
  2. Step 2: Convert to fraction form
    648.02/970.92 = 428.51/x
  3. Step 3: Cross multiply
    648.02x = 970.92 × 428.51
  4. Step 4: Simplify right side
    648.02x = 416,044.07
  5. Step 5: Solve for x
    x = 416,044.07/648.02
  6. Step 6: Final answer
    x = 642.03

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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.