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Finding the Fourth Proportional to 459.27, 688.83 and 130.23

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Solution

The fourth proportional to 459.27, 688.83 and 130.23 is: 195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.27 : 688.83 = 130.23 : x
  2. Step 2: Convert to fraction form
    459.27/688.83 = 130.23/x
  3. Step 3: Cross multiply
    459.27x = 688.83 × 130.23
  4. Step 4: Simplify right side
    459.27x = 89,706.33
  5. Step 5: Solve for x
    x = 89,706.33/459.27
  6. Step 6: Final answer
    x = 195.32

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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.