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Finding the Fourth Proportional to 335.33, 462.86 and 313.46

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Solution

The fourth proportional to 335.33, 462.86 and 313.46 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.33 : 462.86 = 313.46 : x
  2. Step 2: Convert to fraction form
    335.33/462.86 = 313.46/x
  3. Step 3: Cross multiply
    335.33x = 462.86 × 313.46
  4. Step 4: Simplify right side
    335.33x = 145,084.21
  5. Step 5: Solve for x
    x = 145,084.21/335.33
  6. Step 6: Final answer
    x = 432.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.