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Finding the Fourth Proportional to 648.76, 971.84 and 442.81

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Solution

The fourth proportional to 648.76, 971.84 and 442.81 is: 663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.76 : 971.84 = 442.81 : x
  2. Step 2: Convert to fraction form
    648.76/971.84 = 442.81/x
  3. Step 3: Cross multiply
    648.76x = 971.84 × 442.81
  4. Step 4: Simplify right side
    648.76x = 430,340.47
  5. Step 5: Solve for x
    x = 430,340.47/648.76
  6. Step 6: Final answer
    x = 663.33

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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.