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Finding the Fourth Proportional to 532.76, 734.81 and 422.51

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Solution

The fourth proportional to 532.76, 734.81 and 422.51 is: 582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.76 : 734.81 = 422.51 : x
  2. Step 2: Convert to fraction form
    532.76/734.81 = 422.51/x
  3. Step 3: Cross multiply
    532.76x = 734.81 × 422.51
  4. Step 4: Simplify right side
    532.76x = 310,458.79
  5. Step 5: Solve for x
    x = 310,458.79/532.76
  6. Step 6: Final answer
    x = 582.74

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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.