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Finding the Fourth Proportional to 350.43, 524.87 and 288.87

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Solution

The fourth proportional to 350.43, 524.87 and 288.87 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.43 : 524.87 = 288.87 : x
  2. Step 2: Convert to fraction form
    350.43/524.87 = 288.87/x
  3. Step 3: Cross multiply
    350.43x = 524.87 × 288.87
  4. Step 4: Simplify right side
    350.43x = 151,617.29
  5. Step 5: Solve for x
    x = 151,617.29/350.43
  6. Step 6: Final answer
    x = 432.67

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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.