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Finding the Fourth Proportional to 539.04, 743.65 and 317.64

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Solution

The fourth proportional to 539.04, 743.65 and 317.64 is: 438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.04 : 743.65 = 317.64 : x
  2. Step 2: Convert to fraction form
    539.04/743.65 = 317.64/x
  3. Step 3: Cross multiply
    539.04x = 743.65 × 317.64
  4. Step 4: Simplify right side
    539.04x = 236,212.99
  5. Step 5: Solve for x
    x = 236,212.99/539.04
  6. Step 6: Final answer
    x = 438.21

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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.