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Finding the Fourth Proportional to 338.02, 504.56 and 316.66

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Solution

The fourth proportional to 338.02, 504.56 and 316.66 is: 472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.02 : 504.56 = 316.66 : x
  2. Step 2: Convert to fraction form
    338.02/504.56 = 316.66/x
  3. Step 3: Cross multiply
    338.02x = 504.56 × 316.66
  4. Step 4: Simplify right side
    338.02x = 159,773.97
  5. Step 5: Solve for x
    x = 159,773.97/338.02
  6. Step 6: Final answer
    x = 472.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.