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Finding the Fourth Proportional to 505.01, 757.16 and 230.72

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Solution

The fourth proportional to 505.01, 757.16 and 230.72 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.01 : 757.16 = 230.72 : x
  2. Step 2: Convert to fraction form
    505.01/757.16 = 230.72/x
  3. Step 3: Cross multiply
    505.01x = 757.16 × 230.72
  4. Step 4: Simplify right side
    505.01x = 174,690.80
  5. Step 5: Solve for x
    x = 174,690.80/505.01
  6. Step 6: Final answer
    x = 345.92

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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.