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Finding the Fourth Proportional to 647.41, 971.07 and 262.65

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Solution

The fourth proportional to 647.41, 971.07 and 262.65 is: 393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.41 : 971.07 = 262.65 : x
  2. Step 2: Convert to fraction form
    647.41/971.07 = 262.65/x
  3. Step 3: Cross multiply
    647.41x = 971.07 × 262.65
  4. Step 4: Simplify right side
    647.41x = 255,046.02
  5. Step 5: Solve for x
    x = 255,046.02/647.41
  6. Step 6: Final answer
    x = 393.95

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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.