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Finding the Fourth Proportional to 647.46, 971.64 and 428.04

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Solution

The fourth proportional to 647.46, 971.64 and 428.04 is: 642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.46 : 971.64 = 428.04 : x
  2. Step 2: Convert to fraction form
    647.46/971.64 = 428.04/x
  3. Step 3: Cross multiply
    647.46x = 971.64 × 428.04
  4. Step 4: Simplify right side
    647.46x = 415,900.79
  5. Step 5: Solve for x
    x = 415,900.79/647.46
  6. Step 6: Final answer
    x = 642.36

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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.