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Finding the Fourth Proportional to 452.50, 675.54 and 386.81

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Solution

The fourth proportional to 452.50, 675.54 and 386.81 is: 577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.50 : 675.54 = 386.81 : x
  2. Step 2: Convert to fraction form
    452.50/675.54 = 386.81/x
  3. Step 3: Cross multiply
    452.50x = 675.54 × 386.81
  4. Step 4: Simplify right side
    452.50x = 261,304.78
  5. Step 5: Solve for x
    x = 261,304.78/452.50
  6. Step 6: Final answer
    x = 577.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.