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Finding the Fourth Proportional to 535.90, 739.51 and 314.84

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Solution

The fourth proportional to 535.90, 739.51 and 314.84 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.90 : 739.51 = 314.84 : x
  2. Step 2: Convert to fraction form
    535.90/739.51 = 314.84/x
  3. Step 3: Cross multiply
    535.90x = 739.51 × 314.84
  4. Step 4: Simplify right side
    535.90x = 232,827.33
  5. Step 5: Solve for x
    x = 232,827.33/535.90
  6. Step 6: Final answer
    x = 434.46

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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.