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Finding the Fourth Proportional to 390.96, 539.64 and 313.44

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Solution

The fourth proportional to 390.96, 539.64 and 313.44 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.96 : 539.64 = 313.44 : x
  2. Step 2: Convert to fraction form
    390.96/539.64 = 313.44/x
  3. Step 3: Cross multiply
    390.96x = 539.64 × 313.44
  4. Step 4: Simplify right side
    390.96x = 169,144.76
  5. Step 5: Solve for x
    x = 169,144.76/390.96
  6. Step 6: Final answer
    x = 432.64

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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.