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Finding the Fourth Proportional to 505.18, 757.83 and 285.55

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Solution

The fourth proportional to 505.18, 757.83 and 285.55 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.18 : 757.83 = 285.55 : x
  2. Step 2: Convert to fraction form
    505.18/757.83 = 285.55/x
  3. Step 3: Cross multiply
    505.18x = 757.83 × 285.55
  4. Step 4: Simplify right side
    505.18x = 216,398.36
  5. Step 5: Solve for x
    x = 216,398.36/505.18
  6. Step 6: Final answer
    x = 428.36

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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.