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Finding the Fourth Proportional to 649.63, 974.91 and 444.40

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Solution

The fourth proportional to 649.63, 974.91 and 444.40 is: 666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 974.91 = 444.40 : x
  2. Step 2: Convert to fraction form
    649.63/974.91 = 444.40/x
  3. Step 3: Cross multiply
    649.63x = 974.91 × 444.40
  4. Step 4: Simplify right side
    649.63x = 433,250.00
  5. Step 5: Solve for x
    x = 433,250.00/649.63
  6. Step 6: Final answer
    x = 666.92

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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.