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Finding the Fourth Proportional to 350.36, 525.55 and 285.29

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Solution

The fourth proportional to 350.36, 525.55 and 285.29 is: 427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.36 : 525.55 = 285.29 : x
  2. Step 2: Convert to fraction form
    350.36/525.55 = 285.29/x
  3. Step 3: Cross multiply
    350.36x = 525.55 × 285.29
  4. Step 4: Simplify right side
    350.36x = 149,930.11
  5. Step 5: Solve for x
    x = 149,930.11/350.36
  6. Step 6: Final answer
    x = 427.93

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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.