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Finding the Fourth Proportional to 384.30, 539.10 and 384.30

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Solution

The fourth proportional to 384.30, 539.10 and 384.30 is: 539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 539.10 = 384.30 : x
  2. Step 2: Convert to fraction form
    384.30/539.10 = 384.30/x
  3. Step 3: Cross multiply
    384.30x = 539.10 × 384.30
  4. Step 4: Simplify right side
    384.30x = 207,176.13
  5. Step 5: Solve for x
    x = 207,176.13/384.30
  6. Step 6: Final answer
    x = 539.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.