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Finding the Fourth Proportional to 459.46, 689.49 and 170.86

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Solution

The fourth proportional to 459.46, 689.49 and 170.86 is: 256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 689.49 = 170.86 : x
  2. Step 2: Convert to fraction form
    459.46/689.49 = 170.86/x
  3. Step 3: Cross multiply
    459.46x = 689.49 × 170.86
  4. Step 4: Simplify right side
    459.46x = 117,806.26
  5. Step 5: Solve for x
    x = 117,806.26/459.46
  6. Step 6: Final answer
    x = 256.40

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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.