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Finding the Fourth Proportional to 499.32, 749.09 and 152.69

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Solution

The fourth proportional to 499.32, 749.09 and 152.69 is: 229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.32 : 749.09 = 152.69 : x
  2. Step 2: Convert to fraction form
    499.32/749.09 = 152.69/x
  3. Step 3: Cross multiply
    499.32x = 749.09 × 152.69
  4. Step 4: Simplify right side
    499.32x = 114,378.55
  5. Step 5: Solve for x
    x = 114,378.55/499.32
  6. Step 6: Final answer
    x = 229.07

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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.