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Finding the Fourth Proportional to 460.59, 690.85 and 172

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Solution

The fourth proportional to 460.59, 690.85 and 172 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 690.85 = 172 : x
  2. Step 2: Convert to fraction form
    460.59/690.85 = 172/x
  3. Step 3: Cross multiply
    460.59x = 690.85 × 172
  4. Step 4: Simplify right side
    460.59x = 118,826.20
  5. Step 5: Solve for x
    x = 118,826.20/460.59
  6. Step 6: Final answer
    x = 257.99

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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.