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Finding the Fourth Proportional to 648.46, 971.85 and 339.53

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Solution

The fourth proportional to 648.46, 971.85 and 339.53 is: 508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 971.85 = 339.53 : x
  2. Step 2: Convert to fraction form
    648.46/971.85 = 339.53/x
  3. Step 3: Cross multiply
    648.46x = 971.85 × 339.53
  4. Step 4: Simplify right side
    648.46x = 329,972.23
  5. Step 5: Solve for x
    x = 329,972.23/648.46
  6. Step 6: Final answer
    x = 508.86

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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.