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Finding the Fourth Proportional to 532.00, 734.23 and 374.49

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Solution

The fourth proportional to 532.00, 734.23 and 374.49 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.00 : 734.23 = 374.49 : x
  2. Step 2: Convert to fraction form
    532.00/734.23 = 374.49/x
  3. Step 3: Cross multiply
    532.00x = 734.23 × 374.49
  4. Step 4: Simplify right side
    532.00x = 274,962.26
  5. Step 5: Solve for x
    x = 274,962.26/532.00
  6. Step 6: Final answer
    x = 516.85

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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.