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Finding the Fourth Proportional to 539.64, 744.96 and 365.90

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Solution

The fourth proportional to 539.64, 744.96 and 365.90 is: 505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 744.96 = 365.90 : x
  2. Step 2: Convert to fraction form
    539.64/744.96 = 365.90/x
  3. Step 3: Cross multiply
    539.64x = 744.96 × 365.90
  4. Step 4: Simplify right side
    539.64x = 272,580.86
  5. Step 5: Solve for x
    x = 272,580.86/539.64
  6. Step 6: Final answer
    x = 505.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.