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Finding the Fourth Proportional to 501.71, 752.31 and 193.64

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Solution

The fourth proportional to 501.71, 752.31 and 193.64 is: 290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.71 : 752.31 = 193.64 : x
  2. Step 2: Convert to fraction form
    501.71/752.31 = 193.64/x
  3. Step 3: Cross multiply
    501.71x = 752.31 × 193.64
  4. Step 4: Simplify right side
    501.71x = 145,673.55
  5. Step 5: Solve for x
    x = 145,673.55/501.71
  6. Step 6: Final answer
    x = 290.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.