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Finding the Fourth Proportional to 547.55, 755.10 and 423.01

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Solution

The fourth proportional to 547.55, 755.10 and 423.01 is: 583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.55 : 755.10 = 423.01 : x
  2. Step 2: Convert to fraction form
    547.55/755.10 = 423.01/x
  3. Step 3: Cross multiply
    547.55x = 755.10 × 423.01
  4. Step 4: Simplify right side
    547.55x = 319,414.85
  5. Step 5: Solve for x
    x = 319,414.85/547.55
  6. Step 6: Final answer
    x = 583.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.