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Finding the Fourth Proportional to 578.51, 867.76 and 432.41

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Solution

The fourth proportional to 578.51, 867.76 and 432.41 is: 648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.51 : 867.76 = 432.41 : x
  2. Step 2: Convert to fraction form
    578.51/867.76 = 432.41/x
  3. Step 3: Cross multiply
    578.51x = 867.76 × 432.41
  4. Step 4: Simplify right side
    578.51x = 375,222.68
  5. Step 5: Solve for x
    x = 375,222.68/578.51
  6. Step 6: Final answer
    x = 648.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.