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Finding the Fourth Proportional to 350.64, 525.04 and 277.68

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Solution

The fourth proportional to 350.64, 525.04 and 277.68 is: 415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.64 : 525.04 = 277.68 : x
  2. Step 2: Convert to fraction form
    350.64/525.04 = 277.68/x
  3. Step 3: Cross multiply
    350.64x = 525.04 × 277.68
  4. Step 4: Simplify right side
    350.64x = 145,793.11
  5. Step 5: Solve for x
    x = 145,793.11/350.64
  6. Step 6: Final answer
    x = 415.79

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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.