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Finding the Fourth Proportional to 525.54, 725.32 and 304.63

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Solution

The fourth proportional to 525.54, 725.32 and 304.63 is: 420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.54 : 725.32 = 304.63 : x
  2. Step 2: Convert to fraction form
    525.54/725.32 = 304.63/x
  3. Step 3: Cross multiply
    525.54x = 725.32 × 304.63
  4. Step 4: Simplify right side
    525.54x = 220,954.23
  5. Step 5: Solve for x
    x = 220,954.23/525.54
  6. Step 6: Final answer
    x = 420.43

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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.