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Finding the Fourth Proportional to 678.10, 936.46 and 429.50

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Solution

The fourth proportional to 678.10, 936.46 and 429.50 is: 593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.10 : 936.46 = 429.50 : x
  2. Step 2: Convert to fraction form
    678.10/936.46 = 429.50/x
  3. Step 3: Cross multiply
    678.10x = 936.46 × 429.50
  4. Step 4: Simplify right side
    678.10x = 402,209.57
  5. Step 5: Solve for x
    x = 402,209.57/678.10
  6. Step 6: Final answer
    x = 593.14

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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.