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Finding the Fourth Proportional to 946.59, 1,420.03 and 361.67

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Solution

The fourth proportional to 946.59, 1,420.03 and 361.67 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.59 : 1,420.03 = 361.67 : x
  2. Step 2: Convert to fraction form
    946.59/1,420.03 = 361.67/x
  3. Step 3: Cross multiply
    946.59x = 1,420.03 × 361.67
  4. Step 4: Simplify right side
    946.59x = 513,575.60
  5. Step 5: Solve for x
    x = 513,575.60/946.59
  6. Step 6: Final answer
    x = 542.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.