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Finding the Fourth Proportional to 505.40, 757.62 and 288.56

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Solution

The fourth proportional to 505.40, 757.62 and 288.56 is: 432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 757.62 = 288.56 : x
  2. Step 2: Convert to fraction form
    505.40/757.62 = 288.56/x
  3. Step 3: Cross multiply
    505.40x = 757.62 × 288.56
  4. Step 4: Simplify right side
    505.40x = 218,618.83
  5. Step 5: Solve for x
    x = 218,618.83/505.40
  6. Step 6: Final answer
    x = 432.57

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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.