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Finding the Fourth Proportional to 390.92, 538.53 and 362.84

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Solution

The fourth proportional to 390.92, 538.53 and 362.84 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.92 : 538.53 = 362.84 : x
  2. Step 2: Convert to fraction form
    390.92/538.53 = 362.84/x
  3. Step 3: Cross multiply
    390.92x = 538.53 × 362.84
  4. Step 4: Simplify right side
    390.92x = 195,400.23
  5. Step 5: Solve for x
    x = 195,400.23/390.92
  6. Step 6: Final answer
    x = 499.85

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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.