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Finding the Fourth Proportional to 648.52, 973.35 and 336.37

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Solution

The fourth proportional to 648.52, 973.35 and 336.37 is: 504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 973.35 = 336.37 : x
  2. Step 2: Convert to fraction form
    648.52/973.35 = 336.37/x
  3. Step 3: Cross multiply
    648.52x = 973.35 × 336.37
  4. Step 4: Simplify right side
    648.52x = 327,405.74
  5. Step 5: Solve for x
    x = 327,405.74/648.52
  6. Step 6: Final answer
    x = 504.85

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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.