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Finding the Fourth Proportional to 402.35, 554.71 and 361.34

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Solution

The fourth proportional to 402.35, 554.71 and 361.34 is: 498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.35 : 554.71 = 361.34 : x
  2. Step 2: Convert to fraction form
    402.35/554.71 = 361.34/x
  3. Step 3: Cross multiply
    402.35x = 554.71 × 361.34
  4. Step 4: Simplify right side
    402.35x = 200,441.11
  5. Step 5: Solve for x
    x = 200,441.11/402.35
  6. Step 6: Final answer
    x = 498.18

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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.