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Finding the Fourth Proportional to 535.60, 738.36 and 442.48

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Solution

The fourth proportional to 535.60, 738.36 and 442.48 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.60 : 738.36 = 442.48 : x
  2. Step 2: Convert to fraction form
    535.60/738.36 = 442.48/x
  3. Step 3: Cross multiply
    535.60x = 738.36 × 442.48
  4. Step 4: Simplify right side
    535.60x = 326,709.53
  5. Step 5: Solve for x
    x = 326,709.53/535.60
  6. Step 6: Final answer
    x = 609.99

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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.