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Finding the Fourth Proportional to 649.60, 974.86 and 375.32

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Solution

The fourth proportional to 649.60, 974.86 and 375.32 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 974.86 = 375.32 : x
  2. Step 2: Convert to fraction form
    649.60/974.86 = 375.32/x
  3. Step 3: Cross multiply
    649.60x = 974.86 × 375.32
  4. Step 4: Simplify right side
    649.60x = 365,885.95
  5. Step 5: Solve for x
    x = 365,885.95/649.60
  6. Step 6: Final answer
    x = 563.25

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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.