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Finding the Fourth Proportional to 532.04, 734.19 and 335.36

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Solution

The fourth proportional to 532.04, 734.19 and 335.36 is: 462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.04 : 734.19 = 335.36 : x
  2. Step 2: Convert to fraction form
    532.04/734.19 = 335.36/x
  3. Step 3: Cross multiply
    532.04x = 734.19 × 335.36
  4. Step 4: Simplify right side
    532.04x = 246,216.29
  5. Step 5: Solve for x
    x = 246,216.29/532.04
  6. Step 6: Final answer
    x = 462.78

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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.