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Finding the Fourth Proportional to 539.63, 744.29 and 362.53

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Solution

The fourth proportional to 539.63, 744.29 and 362.53 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.63 : 744.29 = 362.53 : x
  2. Step 2: Convert to fraction form
    539.63/744.29 = 362.53/x
  3. Step 3: Cross multiply
    539.63x = 744.29 × 362.53
  4. Step 4: Simplify right side
    539.63x = 269,827.93
  5. Step 5: Solve for x
    x = 269,827.93/539.63
  6. Step 6: Final answer
    x = 500.03

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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.