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Finding the Fourth Proportional to 475.89, 713.02 and 259.62

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Solution

The fourth proportional to 475.89, 713.02 and 259.62 is: 388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.89 : 713.02 = 259.62 : x
  2. Step 2: Convert to fraction form
    475.89/713.02 = 259.62/x
  3. Step 3: Cross multiply
    475.89x = 713.02 × 259.62
  4. Step 4: Simplify right side
    475.89x = 185,114.25
  5. Step 5: Solve for x
    x = 185,114.25/475.89
  6. Step 6: Final answer
    x = 388.99

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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.