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Finding the Fourth Proportional to 534.84, 733.26 and 525.12

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Solution

The fourth proportional to 534.84, 733.26 and 525.12 is: 719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.84 : 733.26 = 525.12 : x
  2. Step 2: Convert to fraction form
    534.84/733.26 = 525.12/x
  3. Step 3: Cross multiply
    534.84x = 733.26 × 525.12
  4. Step 4: Simplify right side
    534.84x = 385,049.49
  5. Step 5: Solve for x
    x = 385,049.49/534.84
  6. Step 6: Final answer
    x = 719.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.