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Finding the Fourth Proportional to 539.07, 743.58 and 406.50

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Solution

The fourth proportional to 539.07, 743.58 and 406.50 is: 560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.07 : 743.58 = 406.50 : x
  2. Step 2: Convert to fraction form
    539.07/743.58 = 406.50/x
  3. Step 3: Cross multiply
    539.07x = 743.58 × 406.50
  4. Step 4: Simplify right side
    539.07x = 302,265.27
  5. Step 5: Solve for x
    x = 302,265.27/539.07
  6. Step 6: Final answer
    x = 560.72

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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.