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Finding the Fourth Proportional to 527.75, 795.05 and 482.64

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Solution

The fourth proportional to 527.75, 795.05 and 482.64 is: 727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 795.05 = 482.64 : x
  2. Step 2: Convert to fraction form
    527.75/795.05 = 482.64/x
  3. Step 3: Cross multiply
    527.75x = 795.05 × 482.64
  4. Step 4: Simplify right side
    527.75x = 383,720.52
  5. Step 5: Solve for x
    x = 383,720.52/527.75
  6. Step 6: Final answer
    x = 727.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.