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Finding the Fourth Proportional to 648.31, 971.77 and 442.37

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Solution

The fourth proportional to 648.31, 971.77 and 442.37 is: 663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.31 : 971.77 = 442.37 : x
  2. Step 2: Convert to fraction form
    648.31/971.77 = 442.37/x
  3. Step 3: Cross multiply
    648.31x = 971.77 × 442.37
  4. Step 4: Simplify right side
    648.31x = 429,875.93
  5. Step 5: Solve for x
    x = 429,875.93/648.31
  6. Step 6: Final answer
    x = 663.07

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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.