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Finding the Fourth Proportional to 389.16, 538.16 and 349.74

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Solution

The fourth proportional to 389.16, 538.16 and 349.74 is: 483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 538.16 = 349.74 : x
  2. Step 2: Convert to fraction form
    389.16/538.16 = 349.74/x
  3. Step 3: Cross multiply
    389.16x = 538.16 × 349.74
  4. Step 4: Simplify right side
    389.16x = 188,214.33
  5. Step 5: Solve for x
    x = 188,214.33/389.16
  6. Step 6: Final answer
    x = 483.64

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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.