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Finding the Fourth Proportional to 535.74, 738.50 and 442.35

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Solution

The fourth proportional to 535.74, 738.50 and 442.35 is: 609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 738.50 = 442.35 : x
  2. Step 2: Convert to fraction form
    535.74/738.50 = 442.35/x
  3. Step 3: Cross multiply
    535.74x = 738.50 × 442.35
  4. Step 4: Simplify right side
    535.74x = 326,673.26
  5. Step 5: Solve for x
    x = 326,673.26/535.74
  6. Step 6: Final answer
    x = 609.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.