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Finding the Fourth Proportional to 648.23, 971.64 and 336.02

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Solution

The fourth proportional to 648.23, 971.64 and 336.02 is: 503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.23 : 971.64 = 336.02 : x
  2. Step 2: Convert to fraction form
    648.23/971.64 = 336.02/x
  3. Step 3: Cross multiply
    648.23x = 971.64 × 336.02
  4. Step 4: Simplify right side
    648.23x = 326,485.61
  5. Step 5: Solve for x
    x = 326,485.61/648.23
  6. Step 6: Final answer
    x = 503.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.