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Finding the Fourth Proportional to 547.98, 817.25 and 466.23

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Solution

The fourth proportional to 547.98, 817.25 and 466.23 is: 695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.98 : 817.25 = 466.23 : x
  2. Step 2: Convert to fraction form
    547.98/817.25 = 466.23/x
  3. Step 3: Cross multiply
    547.98x = 817.25 × 466.23
  4. Step 4: Simplify right side
    547.98x = 381,026.47
  5. Step 5: Solve for x
    x = 381,026.47/547.98
  6. Step 6: Final answer
    x = 695.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.