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Finding the Fourth Proportional to 547.80, 821.64 and 223.08

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Solution

The fourth proportional to 547.80, 821.64 and 223.08 is: 334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.80 : 821.64 = 223.08 : x
  2. Step 2: Convert to fraction form
    547.80/821.64 = 223.08/x
  3. Step 3: Cross multiply
    547.80x = 821.64 × 223.08
  4. Step 4: Simplify right side
    547.80x = 183,291.45
  5. Step 5: Solve for x
    x = 183,291.45/547.80
  6. Step 6: Final answer
    x = 334.60

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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.