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Finding the Fourth Proportional to 333.76, 500.68 and 313.51

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Solution

The fourth proportional to 333.76, 500.68 and 313.51 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 500.68 = 313.51 : x
  2. Step 2: Convert to fraction form
    333.76/500.68 = 313.51/x
  3. Step 3: Cross multiply
    333.76x = 500.68 × 313.51
  4. Step 4: Simplify right side
    333.76x = 156,965.68
  5. Step 5: Solve for x
    x = 156,965.68/333.76
  6. Step 6: Final answer
    x = 470.30

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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.