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Finding the Fourth Proportional to 459.70, 689.64 and 171.13

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Solution

The fourth proportional to 459.70, 689.64 and 171.13 is: 256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.70 : 689.64 = 171.13 : x
  2. Step 2: Convert to fraction form
    459.70/689.64 = 171.13/x
  3. Step 3: Cross multiply
    459.70x = 689.64 × 171.13
  4. Step 4: Simplify right side
    459.70x = 118,014.65
  5. Step 5: Solve for x
    x = 118,014.65/459.70
  6. Step 6: Final answer
    x = 256.72

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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.