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Finding the Fourth Proportional to 420.57, 630.99 and 173.77

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Solution

The fourth proportional to 420.57, 630.99 and 173.77 is: 260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.57 : 630.99 = 173.77 : x
  2. Step 2: Convert to fraction form
    420.57/630.99 = 173.77/x
  3. Step 3: Cross multiply
    420.57x = 630.99 × 173.77
  4. Step 4: Simplify right side
    420.57x = 109,645.55
  5. Step 5: Solve for x
    x = 109,645.55/420.57
  6. Step 6: Final answer
    x = 260.71

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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.