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Finding the Fourth Proportional to 460.70, 690.64 and 171.94

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Solution

The fourth proportional to 460.70, 690.64 and 171.94 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.70 : 690.64 = 171.94 : x
  2. Step 2: Convert to fraction form
    460.70/690.64 = 171.94/x
  3. Step 3: Cross multiply
    460.70x = 690.64 × 171.94
  4. Step 4: Simplify right side
    460.70x = 118,748.64
  5. Step 5: Solve for x
    x = 118,748.64/460.70
  6. Step 6: Final answer
    x = 257.76

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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.