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Finding the Fourth Proportional to 649.64, 897.06 and 428.51

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Solution

The fourth proportional to 649.64, 897.06 and 428.51 is: 591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 897.06 = 428.51 : x
  2. Step 2: Convert to fraction form
    649.64/897.06 = 428.51/x
  3. Step 3: Cross multiply
    649.64x = 897.06 × 428.51
  4. Step 4: Simplify right side
    649.64x = 384,399.18
  5. Step 5: Solve for x
    x = 384,399.18/649.64
  6. Step 6: Final answer
    x = 591.71

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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.