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Finding the Fourth Proportional to 316.77, 437.49 and 304.47

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Solution

The fourth proportional to 316.77, 437.49 and 304.47 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.77 : 437.49 = 304.47 : x
  2. Step 2: Convert to fraction form
    316.77/437.49 = 304.47/x
  3. Step 3: Cross multiply
    316.77x = 437.49 × 304.47
  4. Step 4: Simplify right side
    316.77x = 133,201.80
  5. Step 5: Solve for x
    x = 133,201.80/316.77
  6. Step 6: Final answer
    x = 420.50

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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.