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Finding the Fourth Proportional to 415.14, 573.93 and 311.46

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Solution

The fourth proportional to 415.14, 573.93 and 311.46 is: 430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.14 : 573.93 = 311.46 : x
  2. Step 2: Convert to fraction form
    415.14/573.93 = 311.46/x
  3. Step 3: Cross multiply
    415.14x = 573.93 × 311.46
  4. Step 4: Simplify right side
    415.14x = 178,756.24
  5. Step 5: Solve for x
    x = 178,756.24/415.14
  6. Step 6: Final answer
    x = 430.59

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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.