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Finding the Fourth Proportional to 648.59, 972.85 and 215.74

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Solution

The fourth proportional to 648.59, 972.85 and 215.74 is: 323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.59 : 972.85 = 215.74 : x
  2. Step 2: Convert to fraction form
    648.59/972.85 = 215.74/x
  3. Step 3: Cross multiply
    648.59x = 972.85 × 215.74
  4. Step 4: Simplify right side
    648.59x = 209,876.72
  5. Step 5: Solve for x
    x = 209,876.72/648.59
  6. Step 6: Final answer
    x = 323.59

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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.