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Finding the Fourth Proportional to 401.38, 601.76 and 310.24

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Solution

The fourth proportional to 401.38, 601.76 and 310.24 is: 465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.38 : 601.76 = 310.24 : x
  2. Step 2: Convert to fraction form
    401.38/601.76 = 310.24/x
  3. Step 3: Cross multiply
    401.38x = 601.76 × 310.24
  4. Step 4: Simplify right side
    401.38x = 186,690.02
  5. Step 5: Solve for x
    x = 186,690.02/401.38
  6. Step 6: Final answer
    x = 465.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.