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Finding the Fourth Proportional to 678.42, 936.14 and 383.67

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Solution

The fourth proportional to 678.42, 936.14 and 383.67 is: 529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.42 : 936.14 = 383.67 : x
  2. Step 2: Convert to fraction form
    678.42/936.14 = 383.67/x
  3. Step 3: Cross multiply
    678.42x = 936.14 × 383.67
  4. Step 4: Simplify right side
    678.42x = 359,166.92
  5. Step 5: Solve for x
    x = 359,166.92/678.42
  6. Step 6: Final answer
    x = 529.42

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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.