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Finding the Fourth Proportional to 525.23, 724.96 and 328.63

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Solution

The fourth proportional to 525.23, 724.96 and 328.63 is: 453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.23 : 724.96 = 328.63 : x
  2. Step 2: Convert to fraction form
    525.23/724.96 = 328.63/x
  3. Step 3: Cross multiply
    525.23x = 724.96 × 328.63
  4. Step 4: Simplify right side
    525.23x = 238,243.60
  5. Step 5: Solve for x
    x = 238,243.60/525.23
  6. Step 6: Final answer
    x = 453.60

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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.