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Finding the Fourth Proportional to 505.96, 754.97 and 475.00

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Solution

The fourth proportional to 505.96, 754.97 and 475.00 is: 708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.96 : 754.97 = 475.00 : x
  2. Step 2: Convert to fraction form
    505.96/754.97 = 475.00/x
  3. Step 3: Cross multiply
    505.96x = 754.97 × 475.00
  4. Step 4: Simplify right side
    505.96x = 358,604.60
  5. Step 5: Solve for x
    x = 358,604.60/505.96
  6. Step 6: Final answer
    x = 708.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.