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Finding the Fourth Proportional to 538.71, 743.17 and 317.66

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Solution

The fourth proportional to 538.71, 743.17 and 317.66 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.71 : 743.17 = 317.66 : x
  2. Step 2: Convert to fraction form
    538.71/743.17 = 317.66/x
  3. Step 3: Cross multiply
    538.71x = 743.17 × 317.66
  4. Step 4: Simplify right side
    538.71x = 236,075.38
  5. Step 5: Solve for x
    x = 236,075.38/538.71
  6. Step 6: Final answer
    x = 438.22

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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.