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Finding the Fourth Proportional to 494.59, 683.39 and 477.07

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Solution

The fourth proportional to 494.59, 683.39 and 477.07 is: 659.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.59 : 683.39 = 477.07 : x
  2. Step 2: Convert to fraction form
    494.59/683.39 = 477.07/x
  3. Step 3: Cross multiply
    494.59x = 683.39 × 477.07
  4. Step 4: Simplify right side
    494.59x = 326,024.87
  5. Step 5: Solve for x
    x = 326,024.87/494.59
  6. Step 6: Final answer
    x = 659.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.