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Finding the Fourth Proportional to 647.38, 971.48 and 262.63

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Solution

The fourth proportional to 647.38, 971.48 and 262.63 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 971.48 = 262.63 : x
  2. Step 2: Convert to fraction form
    647.38/971.48 = 262.63/x
  3. Step 3: Cross multiply
    647.38x = 971.48 × 262.63
  4. Step 4: Simplify right side
    647.38x = 255,139.79
  5. Step 5: Solve for x
    x = 255,139.79/647.38
  6. Step 6: Final answer
    x = 394.11

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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.