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Finding the Fourth Proportional to 535.76, 739.36 and 314.88

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Solution

The fourth proportional to 535.76, 739.36 and 314.88 is: 434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.76 : 739.36 = 314.88 : x
  2. Step 2: Convert to fraction form
    535.76/739.36 = 314.88/x
  3. Step 3: Cross multiply
    535.76x = 739.36 × 314.88
  4. Step 4: Simplify right side
    535.76x = 232,809.68
  5. Step 5: Solve for x
    x = 232,809.68/535.76
  6. Step 6: Final answer
    x = 434.54

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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.