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Finding the Fourth Proportional to 499.59, 749.10 and 152.83

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Solution

The fourth proportional to 499.59, 749.10 and 152.83 is: 229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.59 : 749.10 = 152.83 : x
  2. Step 2: Convert to fraction form
    499.59/749.10 = 152.83/x
  3. Step 3: Cross multiply
    499.59x = 749.10 × 152.83
  4. Step 4: Simplify right side
    499.59x = 114,480.44
  5. Step 5: Solve for x
    x = 114,480.44/499.59
  6. Step 6: Final answer
    x = 229.15

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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.