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Finding the Fourth Proportional to 505.93, 759.17 and 245.65

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Solution

The fourth proportional to 505.93, 759.17 and 245.65 is: 368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 759.17 = 245.65 : x
  2. Step 2: Convert to fraction form
    505.93/759.17 = 245.65/x
  3. Step 3: Cross multiply
    505.93x = 759.17 × 245.65
  4. Step 4: Simplify right side
    505.93x = 186,490.11
  5. Step 5: Solve for x
    x = 186,490.11/505.93
  6. Step 6: Final answer
    x = 368.61

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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.