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Finding the Fourth Proportional to 345.45, 519.30 and 285.03

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Solution

The fourth proportional to 345.45, 519.30 and 285.03 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.45 : 519.30 = 285.03 : x
  2. Step 2: Convert to fraction form
    345.45/519.30 = 285.03/x
  3. Step 3: Cross multiply
    345.45x = 519.30 × 285.03
  4. Step 4: Simplify right side
    345.45x = 148,016.08
  5. Step 5: Solve for x
    x = 148,016.08/345.45
  6. Step 6: Final answer
    x = 428.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.