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Finding the Fourth Proportional to 459.60, 689.64 and 171

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Solution

The fourth proportional to 459.60, 689.64 and 171 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.60 : 689.64 = 171 : x
  2. Step 2: Convert to fraction form
    459.60/689.64 = 171/x
  3. Step 3: Cross multiply
    459.60x = 689.64 × 171
  4. Step 4: Simplify right side
    459.60x = 117,928.44
  5. Step 5: Solve for x
    x = 117,928.44/459.60
  6. Step 6: Final answer
    x = 256.59

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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.