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Finding the Fourth Proportional to 397.27, 595.24 and 310.24

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Solution

The fourth proportional to 397.27, 595.24 and 310.24 is: 464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.27 : 595.24 = 310.24 : x
  2. Step 2: Convert to fraction form
    397.27/595.24 = 310.24/x
  3. Step 3: Cross multiply
    397.27x = 595.24 × 310.24
  4. Step 4: Simplify right side
    397.27x = 184,667.63
  5. Step 5: Solve for x
    x = 184,667.63/397.27
  6. Step 6: Final answer
    x = 464.85

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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.