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Finding the Fourth Proportional to 417.39, 626.17 and 349.39

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Solution

The fourth proportional to 417.39, 626.17 and 349.39 is: 524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.39 : 626.17 = 349.39 : x
  2. Step 2: Convert to fraction form
    417.39/626.17 = 349.39/x
  3. Step 3: Cross multiply
    417.39x = 626.17 × 349.39
  4. Step 4: Simplify right side
    417.39x = 218,777.54
  5. Step 5: Solve for x
    x = 218,777.54/417.39
  6. Step 6: Final answer
    x = 524.16

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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.