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Finding the Fourth Proportional to 544.52, 751.50 and 311.64

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Solution

The fourth proportional to 544.52, 751.50 and 311.64 is: 430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.52 : 751.50 = 311.64 : x
  2. Step 2: Convert to fraction form
    544.52/751.50 = 311.64/x
  3. Step 3: Cross multiply
    544.52x = 751.50 × 311.64
  4. Step 4: Simplify right side
    544.52x = 234,197.46
  5. Step 5: Solve for x
    x = 234,197.46/544.52
  6. Step 6: Final answer
    x = 430.10

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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.