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Finding the Fourth Proportional to 459.32, 688.83 and 199.16

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Solution

The fourth proportional to 459.32, 688.83 and 199.16 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.32 : 688.83 = 199.16 : x
  2. Step 2: Convert to fraction form
    459.32/688.83 = 199.16/x
  3. Step 3: Cross multiply
    459.32x = 688.83 × 199.16
  4. Step 4: Simplify right side
    459.32x = 137,183.19
  5. Step 5: Solve for x
    x = 137,183.19/459.32
  6. Step 6: Final answer
    x = 298.67

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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.