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Finding the Fourth Proportional to 525.93, 726.15 and 329.53

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Solution

The fourth proportional to 525.93, 726.15 and 329.53 is: 454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.93 : 726.15 = 329.53 : x
  2. Step 2: Convert to fraction form
    525.93/726.15 = 329.53/x
  3. Step 3: Cross multiply
    525.93x = 726.15 × 329.53
  4. Step 4: Simplify right side
    525.93x = 239,288.21
  5. Step 5: Solve for x
    x = 239,288.21/525.93
  6. Step 6: Final answer
    x = 454.98

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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.