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Finding the Fourth Proportional to 505.67, 759.33 and 314.51

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Solution

The fourth proportional to 505.67, 759.33 and 314.51 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.67 : 759.33 = 314.51 : x
  2. Step 2: Convert to fraction form
    505.67/759.33 = 314.51/x
  3. Step 3: Cross multiply
    505.67x = 759.33 × 314.51
  4. Step 4: Simplify right side
    505.67x = 238,813.08
  5. Step 5: Solve for x
    x = 238,813.08/505.67
  6. Step 6: Final answer
    x = 472.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.