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Finding the Fourth Proportional to 313.79, 432.72 and 220.50

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Solution

The fourth proportional to 313.79, 432.72 and 220.50 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.79 : 432.72 = 220.50 : x
  2. Step 2: Convert to fraction form
    313.79/432.72 = 220.50/x
  3. Step 3: Cross multiply
    313.79x = 432.72 × 220.50
  4. Step 4: Simplify right side
    313.79x = 95,414.76
  5. Step 5: Solve for x
    x = 95,414.76/313.79
  6. Step 6: Final answer
    x = 304.08

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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.