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Finding the Fourth Proportional to 649.52, 896.76 and 474.56

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Solution

The fourth proportional to 649.52, 896.76 and 474.56 is: 655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 896.76 = 474.56 : x
  2. Step 2: Convert to fraction form
    649.52/896.76 = 474.56/x
  3. Step 3: Cross multiply
    649.52x = 896.76 × 474.56
  4. Step 4: Simplify right side
    649.52x = 425,566.43
  5. Step 5: Solve for x
    x = 425,566.43/649.52
  6. Step 6: Final answer
    x = 655.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.