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Finding the Fourth Proportional to 505.37, 757.34 and 402.19

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Solution

The fourth proportional to 505.37, 757.34 and 402.19 is: 602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.37 : 757.34 = 402.19 : x
  2. Step 2: Convert to fraction form
    505.37/757.34 = 402.19/x
  3. Step 3: Cross multiply
    505.37x = 757.34 × 402.19
  4. Step 4: Simplify right side
    505.37x = 304,592.56
  5. Step 5: Solve for x
    x = 304,592.56/505.37
  6. Step 6: Final answer
    x = 602.72

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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.