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Finding the Fourth Proportional to 505.51, 757.05 and 288.43

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Solution

The fourth proportional to 505.51, 757.05 and 288.43 is: 431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 757.05 = 288.43 : x
  2. Step 2: Convert to fraction form
    505.51/757.05 = 288.43/x
  3. Step 3: Cross multiply
    505.51x = 757.05 × 288.43
  4. Step 4: Simplify right side
    505.51x = 218,355.93
  5. Step 5: Solve for x
    x = 218,355.93/505.51
  6. Step 6: Final answer
    x = 431.95

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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.