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Finding the Fourth Proportional to 405.86, 560.43 and 393.62

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Solution

The fourth proportional to 405.86, 560.43 and 393.62 is: 543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 560.43 = 393.62 : x
  2. Step 2: Convert to fraction form
    405.86/560.43 = 393.62/x
  3. Step 3: Cross multiply
    405.86x = 560.43 × 393.62
  4. Step 4: Simplify right side
    405.86x = 220,593.65
  5. Step 5: Solve for x
    x = 220,593.65/405.86
  6. Step 6: Final answer
    x = 543.53

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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.