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Finding the Fourth Proportional to 506.08, 759.60 and 314.08

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Solution

The fourth proportional to 506.08, 759.60 and 314.08 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.08 : 759.60 = 314.08 : x
  2. Step 2: Convert to fraction form
    506.08/759.60 = 314.08/x
  3. Step 3: Cross multiply
    506.08x = 759.60 × 314.08
  4. Step 4: Simplify right side
    506.08x = 238,575.17
  5. Step 5: Solve for x
    x = 238,575.17/506.08
  6. Step 6: Final answer
    x = 471.42

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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.