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Finding the Fourth Proportional to 505.08, 757.74 and 456.87

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Solution

The fourth proportional to 505.08, 757.74 and 456.87 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 757.74 = 456.87 : x
  2. Step 2: Convert to fraction form
    505.08/757.74 = 456.87/x
  3. Step 3: Cross multiply
    505.08x = 757.74 × 456.87
  4. Step 4: Simplify right side
    505.08x = 346,188.67
  5. Step 5: Solve for x
    x = 346,188.67/505.08
  6. Step 6: Final answer
    x = 685.41

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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.