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Finding the Fourth Proportional to 678.78, 936.15 and 429.90

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Solution

The fourth proportional to 678.78, 936.15 and 429.90 is: 592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.78 : 936.15 = 429.90 : x
  2. Step 2: Convert to fraction form
    678.78/936.15 = 429.90/x
  3. Step 3: Cross multiply
    678.78x = 936.15 × 429.90
  4. Step 4: Simplify right side
    678.78x = 402,450.89
  5. Step 5: Solve for x
    x = 402,450.89/678.78
  6. Step 6: Final answer
    x = 592.90

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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.