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Finding the Fourth Proportional to 648.63, 971.65 and 442.69

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Solution

The fourth proportional to 648.63, 971.65 and 442.69 is: 663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.63 : 971.65 = 442.69 : x
  2. Step 2: Convert to fraction form
    648.63/971.65 = 442.69/x
  3. Step 3: Cross multiply
    648.63x = 971.65 × 442.69
  4. Step 4: Simplify right side
    648.63x = 430,137.86
  5. Step 5: Solve for x
    x = 430,137.86/648.63
  6. Step 6: Final answer
    x = 663.15

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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.