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Finding the Fourth Proportional to 505.85, 693.72 and 484.81

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Solution

The fourth proportional to 505.85, 693.72 and 484.81 is: 664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 693.72 = 484.81 : x
  2. Step 2: Convert to fraction form
    505.85/693.72 = 484.81/x
  3. Step 3: Cross multiply
    505.85x = 693.72 × 484.81
  4. Step 4: Simplify right side
    505.85x = 336,320.66
  5. Step 5: Solve for x
    x = 336,320.66/505.85
  6. Step 6: Final answer
    x = 664.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.