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Finding the Fourth Proportional to 539.16, 744.40 and 362.26

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Solution

The fourth proportional to 539.16, 744.40 and 362.26 is: 500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 744.40 = 362.26 : x
  2. Step 2: Convert to fraction form
    539.16/744.40 = 362.26/x
  3. Step 3: Cross multiply
    539.16x = 744.40 × 362.26
  4. Step 4: Simplify right side
    539.16x = 269,666.34
  5. Step 5: Solve for x
    x = 269,666.34/539.16
  6. Step 6: Final answer
    x = 500.16

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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.