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Finding the Fourth Proportional to 525.84, 725.76 and 329.82

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Solution

The fourth proportional to 525.84, 725.76 and 329.82 is: 455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 725.76 = 329.82 : x
  2. Step 2: Convert to fraction form
    525.84/725.76 = 329.82/x
  3. Step 3: Cross multiply
    525.84x = 725.76 × 329.82
  4. Step 4: Simplify right side
    525.84x = 239,370.16
  5. Step 5: Solve for x
    x = 239,370.16/525.84
  6. Step 6: Final answer
    x = 455.21

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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.