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Finding the Fourth Proportional to 415.13, 572.87 and 305.12

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Solution

The fourth proportional to 415.13, 572.87 and 305.12 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.13 : 572.87 = 305.12 : x
  2. Step 2: Convert to fraction form
    415.13/572.87 = 305.12/x
  3. Step 3: Cross multiply
    415.13x = 572.87 × 305.12
  4. Step 4: Simplify right side
    415.13x = 174,793.07
  5. Step 5: Solve for x
    x = 174,793.07/415.13
  6. Step 6: Final answer
    x = 421.06

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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.