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Finding the Fourth Proportional to 436.28, 653.70 and 349.16

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Solution

The fourth proportional to 436.28, 653.70 and 349.16 is: 523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.28 : 653.70 = 349.16 : x
  2. Step 2: Convert to fraction form
    436.28/653.70 = 349.16/x
  3. Step 3: Cross multiply
    436.28x = 653.70 × 349.16
  4. Step 4: Simplify right side
    436.28x = 228,242.62
  5. Step 5: Solve for x
    x = 228,242.62/436.28
  6. Step 6: Final answer
    x = 523.16

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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.