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Finding the Fourth Proportional to 578.32, 872.63 and 555.82

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Solution

The fourth proportional to 578.32, 872.63 and 555.82 is: 838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.32 : 872.63 = 555.82 : x
  2. Step 2: Convert to fraction form
    578.32/872.63 = 555.82/x
  3. Step 3: Cross multiply
    578.32x = 872.63 × 555.82
  4. Step 4: Simplify right side
    578.32x = 485,025.21
  5. Step 5: Solve for x
    x = 485,025.21/578.32
  6. Step 6: Final answer
    x = 838.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.