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Finding the Fourth Proportional to 505.31, 757.42 and 414.41

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Solution

The fourth proportional to 505.31, 757.42 and 414.41 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.31 : 757.42 = 414.41 : x
  2. Step 2: Convert to fraction form
    505.31/757.42 = 414.41/x
  3. Step 3: Cross multiply
    505.31x = 757.42 × 414.41
  4. Step 4: Simplify right side
    505.31x = 313,877.60
  5. Step 5: Solve for x
    x = 313,877.60/505.31
  6. Step 6: Final answer
    x = 621.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.