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Finding the Fourth Proportional to 527.41, 723.67 and 522.52

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Solution

The fourth proportional to 527.41, 723.67 and 522.52 is: 716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.41 : 723.67 = 522.52 : x
  2. Step 2: Convert to fraction form
    527.41/723.67 = 522.52/x
  3. Step 3: Cross multiply
    527.41x = 723.67 × 522.52
  4. Step 4: Simplify right side
    527.41x = 378,128.93
  5. Step 5: Solve for x
    x = 378,128.93/527.41
  6. Step 6: Final answer
    x = 716.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.