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Finding the Fourth Proportional to 649.56, 974.88 and 259.92

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Solution

The fourth proportional to 649.56, 974.88 and 259.92 is: 390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.56 : 974.88 = 259.92 : x
  2. Step 2: Convert to fraction form
    649.56/974.88 = 259.92/x
  3. Step 3: Cross multiply
    649.56x = 974.88 × 259.92
  4. Step 4: Simplify right side
    649.56x = 253,390.81
  5. Step 5: Solve for x
    x = 253,390.81/649.56
  6. Step 6: Final answer
    x = 390.10

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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.