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Finding the Fourth Proportional to 678.41, 936.23 and 429.84

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Solution

The fourth proportional to 678.41, 936.23 and 429.84 is: 593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.41 : 936.23 = 429.84 : x
  2. Step 2: Convert to fraction form
    678.41/936.23 = 429.84/x
  3. Step 3: Cross multiply
    678.41x = 936.23 × 429.84
  4. Step 4: Simplify right side
    678.41x = 402,426.95
  5. Step 5: Solve for x
    x = 402,426.95/678.41
  6. Step 6: Final answer
    x = 593.19

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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.