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Finding the Fourth Proportional to 358.56, 535.25 and 310.14

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Solution

The fourth proportional to 358.56, 535.25 and 310.14 is: 462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 535.25 = 310.14 : x
  2. Step 2: Convert to fraction form
    358.56/535.25 = 310.14/x
  3. Step 3: Cross multiply
    358.56x = 535.25 × 310.14
  4. Step 4: Simplify right side
    358.56x = 166,003.21
  5. Step 5: Solve for x
    x = 166,003.21/358.56
  6. Step 6: Final answer
    x = 462.97

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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.