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Finding the Fourth Proportional to 402.32, 554.82 and 386.54

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Solution

The fourth proportional to 402.32, 554.82 and 386.54 is: 533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.32 : 554.82 = 386.54 : x
  2. Step 2: Convert to fraction form
    402.32/554.82 = 386.54/x
  3. Step 3: Cross multiply
    402.32x = 554.82 × 386.54
  4. Step 4: Simplify right side
    402.32x = 214,460.12
  5. Step 5: Solve for x
    x = 214,460.12/402.32
  6. Step 6: Final answer
    x = 533.06

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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.