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Finding the Fourth Proportional to 402.01, 551.91 and 384.24

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Solution

The fourth proportional to 402.01, 551.91 and 384.24 is: 527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.01 : 551.91 = 384.24 : x
  2. Step 2: Convert to fraction form
    402.01/551.91 = 384.24/x
  3. Step 3: Cross multiply
    402.01x = 551.91 × 384.24
  4. Step 4: Simplify right side
    402.01x = 212,069.41
  5. Step 5: Solve for x
    x = 212,069.41/402.01
  6. Step 6: Final answer
    x = 527.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.