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Finding the Fourth Proportional to 943.36, 1,414.32 and 430

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Solution

The fourth proportional to 943.36, 1,414.32 and 430 is: 644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.36 : 1,414.32 = 430 : x
  2. Step 2: Convert to fraction form
    943.36/1,414.32 = 430/x
  3. Step 3: Cross multiply
    943.36x = 1,414.32 × 430
  4. Step 4: Simplify right side
    943.36x = 608,157.60
  5. Step 5: Solve for x
    x = 608,157.60/943.36
  6. Step 6: Final answer
    x = 644.67

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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.