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Finding the Fourth Proportional to 357.80, 496.65 and 349.16

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Solution

The fourth proportional to 357.80, 496.65 and 349.16 is: 484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 496.65 = 349.16 : x
  2. Step 2: Convert to fraction form
    357.80/496.65 = 349.16/x
  3. Step 3: Cross multiply
    357.80x = 496.65 × 349.16
  4. Step 4: Simplify right side
    357.80x = 173,407.83
  5. Step 5: Solve for x
    x = 173,407.83/357.80
  6. Step 6: Final answer
    x = 484.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.