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Finding the Fourth Proportional to 366.29, 547.47 and 319.65

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Solution

The fourth proportional to 366.29, 547.47 and 319.65 is: 477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.29 : 547.47 = 319.65 : x
  2. Step 2: Convert to fraction form
    366.29/547.47 = 319.65/x
  3. Step 3: Cross multiply
    366.29x = 547.47 × 319.65
  4. Step 4: Simplify right side
    366.29x = 174,999.58
  5. Step 5: Solve for x
    x = 174,999.58/366.29
  6. Step 6: Final answer
    x = 477.76

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