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Finding the Fourth Proportional to 600.69, 828.44 and 390.76

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Solution

The fourth proportional to 600.69, 828.44 and 390.76 is: 538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.69 : 828.44 = 390.76 : x
  2. Step 2: Convert to fraction form
    600.69/828.44 = 390.76/x
  3. Step 3: Cross multiply
    600.69x = 828.44 × 390.76
  4. Step 4: Simplify right side
    600.69x = 323,721.21
  5. Step 5: Solve for x
    x = 323,721.21/600.69
  6. Step 6: Final answer
    x = 538.92

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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.