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Finding the Fourth Proportional to 433.16, 647.42 and 377.88

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Solution

The fourth proportional to 433.16, 647.42 and 377.88 is: 564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 647.42 = 377.88 : x
  2. Step 2: Convert to fraction form
    433.16/647.42 = 377.88/x
  3. Step 3: Cross multiply
    433.16x = 647.42 × 377.88
  4. Step 4: Simplify right side
    433.16x = 244,647.07
  5. Step 5: Solve for x
    x = 244,647.07/433.16
  6. Step 6: Final answer
    x = 564.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.