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Finding the Fourth Proportional to 678.63, 936.42 and 429.51

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Solution

The fourth proportional to 678.63, 936.42 and 429.51 is: 592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.63 : 936.42 = 429.51 : x
  2. Step 2: Convert to fraction form
    678.63/936.42 = 429.51/x
  3. Step 3: Cross multiply
    678.63x = 936.42 × 429.51
  4. Step 4: Simplify right side
    678.63x = 402,201.75
  5. Step 5: Solve for x
    x = 402,201.75/678.63
  6. Step 6: Final answer
    x = 592.67

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