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Finding the Fourth Proportional to 548.77, 823.71 and 428.35

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Solution

The fourth proportional to 548.77, 823.71 and 428.35 is: 642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.77 : 823.71 = 428.35 : x
  2. Step 2: Convert to fraction form
    548.77/823.71 = 428.35/x
  3. Step 3: Cross multiply
    548.77x = 823.71 × 428.35
  4. Step 4: Simplify right side
    548.77x = 352,836.18
  5. Step 5: Solve for x
    x = 352,836.18/548.77
  6. Step 6: Final answer
    x = 642.96

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Why These Related Problems?

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