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Finding the Fourth Proportional to 402.84, 554.36 and 389.48

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Solution

The fourth proportional to 402.84, 554.36 and 389.48 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 554.36 = 389.48 : x
  2. Step 2: Convert to fraction form
    402.84/554.36 = 389.48/x
  3. Step 3: Cross multiply
    402.84x = 554.36 × 389.48
  4. Step 4: Simplify right side
    402.84x = 215,909.49
  5. Step 5: Solve for x
    x = 215,909.49/402.84
  6. Step 6: Final answer
    x = 535.96

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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.