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Finding the Fourth Proportional to 459.23, 688.76 and 134.52

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Solution

The fourth proportional to 459.23, 688.76 and 134.52 is: 201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 688.76 = 134.52 : x
  2. Step 2: Convert to fraction form
    459.23/688.76 = 134.52/x
  3. Step 3: Cross multiply
    459.23x = 688.76 × 134.52
  4. Step 4: Simplify right side
    459.23x = 92,649.94
  5. Step 5: Solve for x
    x = 92,649.94/459.23
  6. Step 6: Final answer
    x = 201.75

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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.