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Finding the Fourth Proportional to 536.56, 738.80 and 442.96

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Solution

The fourth proportional to 536.56, 738.80 and 442.96 is: 609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.56 : 738.80 = 442.96 : x
  2. Step 2: Convert to fraction form
    536.56/738.80 = 442.96/x
  3. Step 3: Cross multiply
    536.56x = 738.80 × 442.96
  4. Step 4: Simplify right side
    536.56x = 327,258.85
  5. Step 5: Solve for x
    x = 327,258.85/536.56
  6. Step 6: Final answer
    x = 609.92

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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.