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Finding the Fourth Proportional to 349.96, 525.03 and 288.37

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Solution

The fourth proportional to 349.96, 525.03 and 288.37 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.96 : 525.03 = 288.37 : x
  2. Step 2: Convert to fraction form
    349.96/525.03 = 288.37/x
  3. Step 3: Cross multiply
    349.96x = 525.03 × 288.37
  4. Step 4: Simplify right side
    349.96x = 151,402.90
  5. Step 5: Solve for x
    x = 151,402.90/349.96
  6. Step 6: Final answer
    x = 432.63

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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.