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Finding the Fourth Proportional to 350.46, 522.99 and 307.80

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Solution

The fourth proportional to 350.46, 522.99 and 307.80 is: 459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.46 : 522.99 = 307.80 : x
  2. Step 2: Convert to fraction form
    350.46/522.99 = 307.80/x
  3. Step 3: Cross multiply
    350.46x = 522.99 × 307.80
  4. Step 4: Simplify right side
    350.46x = 160,976.32
  5. Step 5: Solve for x
    x = 160,976.32/350.46
  6. Step 6: Final answer
    x = 459.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.