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Finding the Fourth Proportional to 313.41, 432.05 and 219.86

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Solution

The fourth proportional to 313.41, 432.05 and 219.86 is: 303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.41 : 432.05 = 219.86 : x
  2. Step 2: Convert to fraction form
    313.41/432.05 = 219.86/x
  3. Step 3: Cross multiply
    313.41x = 432.05 × 219.86
  4. Step 4: Simplify right side
    313.41x = 94,990.51
  5. Step 5: Solve for x
    x = 94,990.51/313.41
  6. Step 6: Final answer
    x = 303.09

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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.