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Finding the Fourth Proportional to 525.21, 724.80 and 304.23

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Solution

The fourth proportional to 525.21, 724.80 and 304.23 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.21 : 724.80 = 304.23 : x
  2. Step 2: Convert to fraction form
    525.21/724.80 = 304.23/x
  3. Step 3: Cross multiply
    525.21x = 724.80 × 304.23
  4. Step 4: Simplify right side
    525.21x = 220,505.90
  5. Step 5: Solve for x
    x = 220,505.90/525.21
  6. Step 6: Final answer
    x = 419.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.