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Finding the Fourth Proportional to 401.63, 553.81 and 317.80

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Solution

The fourth proportional to 401.63, 553.81 and 317.80 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 553.81 = 317.80 : x
  2. Step 2: Convert to fraction form
    401.63/553.81 = 317.80/x
  3. Step 3: Cross multiply
    401.63x = 553.81 × 317.80
  4. Step 4: Simplify right side
    401.63x = 176,000.65
  5. Step 5: Solve for x
    x = 176,000.65/401.63
  6. Step 6: Final answer
    x = 438.21

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