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Finding the Fourth Proportional to 505.92, 759.25 and 390.65

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Solution

The fourth proportional to 505.92, 759.25 and 390.65 is: 586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.92 : 759.25 = 390.65 : x
  2. Step 2: Convert to fraction form
    505.92/759.25 = 390.65/x
  3. Step 3: Cross multiply
    505.92x = 759.25 × 390.65
  4. Step 4: Simplify right side
    505.92x = 296,601.01
  5. Step 5: Solve for x
    x = 296,601.01/505.92
  6. Step 6: Final answer
    x = 586.26

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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.