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Finding the Fourth Proportional to 525.40, 724.32 and 328.78

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Solution

The fourth proportional to 525.40, 724.32 and 328.78 is: 453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 724.32 = 328.78 : x
  2. Step 2: Convert to fraction form
    525.40/724.32 = 328.78/x
  3. Step 3: Cross multiply
    525.40x = 724.32 × 328.78
  4. Step 4: Simplify right side
    525.40x = 238,141.93
  5. Step 5: Solve for x
    x = 238,141.93/525.40
  6. Step 6: Final answer
    x = 453.26

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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.