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Finding the Fourth Proportional to 479.88, 719.93 and 205.98

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Solution

The fourth proportional to 479.88, 719.93 and 205.98 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.88 : 719.93 = 205.98 : x
  2. Step 2: Convert to fraction form
    479.88/719.93 = 205.98/x
  3. Step 3: Cross multiply
    479.88x = 719.93 × 205.98
  4. Step 4: Simplify right side
    479.88x = 148,290.15
  5. Step 5: Solve for x
    x = 148,290.15/479.88
  6. Step 6: Final answer
    x = 309.02

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Why These Related Problems?

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