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Finding the Fourth Proportional to 547.04, 820.02 and 303.05

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Solution

The fourth proportional to 547.04, 820.02 and 303.05 is: 454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.04 : 820.02 = 303.05 : x
  2. Step 2: Convert to fraction form
    547.04/820.02 = 303.05/x
  3. Step 3: Cross multiply
    547.04x = 820.02 × 303.05
  4. Step 4: Simplify right side
    547.04x = 248,507.06
  5. Step 5: Solve for x
    x = 248,507.06/547.04
  6. Step 6: Final answer
    x = 454.28

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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.