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Finding the Fourth Proportional to 459.23, 689.16 and 170.91

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Solution

The fourth proportional to 459.23, 689.16 and 170.91 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.23 : 689.16 = 170.91 : x
  2. Step 2: Convert to fraction form
    459.23/689.16 = 170.91/x
  3. Step 3: Cross multiply
    459.23x = 689.16 × 170.91
  4. Step 4: Simplify right side
    459.23x = 117,784.34
  5. Step 5: Solve for x
    x = 117,784.34/459.23
  6. Step 6: Final answer
    x = 256.48

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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.