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Finding the Fourth Proportional to 648.99, 974.10 and 341.07

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Solution

The fourth proportional to 648.99, 974.10 and 341.07 is: 511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.99 : 974.10 = 341.07 : x
  2. Step 2: Convert to fraction form
    648.99/974.10 = 341.07/x
  3. Step 3: Cross multiply
    648.99x = 974.10 × 341.07
  4. Step 4: Simplify right side
    648.99x = 332,236.29
  5. Step 5: Solve for x
    x = 332,236.29/648.99
  6. Step 6: Final answer
    x = 511.93

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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.