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Finding the Fourth Proportional to 678.87, 936.94 and 430.21

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Solution

The fourth proportional to 678.87, 936.94 and 430.21 is: 593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.87 : 936.94 = 430.21 : x
  2. Step 2: Convert to fraction form
    678.87/936.94 = 430.21/x
  3. Step 3: Cross multiply
    678.87x = 936.94 × 430.21
  4. Step 4: Simplify right side
    678.87x = 403,078.49
  5. Step 5: Solve for x
    x = 403,078.49/678.87
  6. Step 6: Final answer
    x = 593.75

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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.