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Finding the Fourth Proportional to 649.12, 894.55 and 474.16

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Solution

The fourth proportional to 649.12, 894.55 and 474.16 is: 653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.12 : 894.55 = 474.16 : x
  2. Step 2: Convert to fraction form
    649.12/894.55 = 474.16/x
  3. Step 3: Cross multiply
    649.12x = 894.55 × 474.16
  4. Step 4: Simplify right side
    649.12x = 424,152.98
  5. Step 5: Solve for x
    x = 424,152.98/649.12
  6. Step 6: Final answer
    x = 653.43

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Why These Related Problems?

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