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Finding the Fourth Proportional to 314.24, 470.72 and 249.35

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Solution

The fourth proportional to 314.24, 470.72 and 249.35 is: 373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 470.72 = 249.35 : x
  2. Step 2: Convert to fraction form
    314.24/470.72 = 249.35/x
  3. Step 3: Cross multiply
    314.24x = 470.72 × 249.35
  4. Step 4: Simplify right side
    314.24x = 117,372.30
  5. Step 5: Solve for x
    x = 117,372.30/314.24
  6. Step 6: Final answer
    x = 373.52

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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.