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Finding the Fourth Proportional to 507.16, 759.42 and 391.33

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Solution

The fourth proportional to 507.16, 759.42 and 391.33 is: 585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.16 : 759.42 = 391.33 : x
  2. Step 2: Convert to fraction form
    507.16/759.42 = 391.33/x
  3. Step 3: Cross multiply
    507.16x = 759.42 × 391.33
  4. Step 4: Simplify right side
    507.16x = 297,183.83
  5. Step 5: Solve for x
    x = 297,183.83/507.16
  6. Step 6: Final answer
    x = 585.98

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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.