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Finding the Fourth Proportional to 648.95, 972.47 and 323.87

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Solution

The fourth proportional to 648.95, 972.47 and 323.87 is: 485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.95 : 972.47 = 323.87 : x
  2. Step 2: Convert to fraction form
    648.95/972.47 = 323.87/x
  3. Step 3: Cross multiply
    648.95x = 972.47 × 323.87
  4. Step 4: Simplify right side
    648.95x = 314,949.81
  5. Step 5: Solve for x
    x = 314,949.81/648.95
  6. Step 6: Final answer
    x = 485.33

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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.