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Finding the Fourth Proportional to 508.49, 701.16 and 321.77

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Solution

The fourth proportional to 508.49, 701.16 and 321.77 is: 443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.49 : 701.16 = 321.77 : x
  2. Step 2: Convert to fraction form
    508.49/701.16 = 321.77/x
  3. Step 3: Cross multiply
    508.49x = 701.16 × 321.77
  4. Step 4: Simplify right side
    508.49x = 225,612.25
  5. Step 5: Solve for x
    x = 225,612.25/508.49
  6. Step 6: Final answer
    x = 443.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.