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Finding the Fourth Proportional to 649.60, 972.32 and 454.84

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Solution

The fourth proportional to 649.60, 972.32 and 454.84 is: 680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.60 : 972.32 = 454.84 : x
  2. Step 2: Convert to fraction form
    649.60/972.32 = 454.84/x
  3. Step 3: Cross multiply
    649.60x = 972.32 × 454.84
  4. Step 4: Simplify right side
    649.60x = 442,250.03
  5. Step 5: Solve for x
    x = 442,250.03/649.60
  6. Step 6: Final answer
    x = 680.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.