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Finding the Fourth Proportional to 535.31, 739.14 and 402.72

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Solution

The fourth proportional to 535.31, 739.14 and 402.72 is: 556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.31 : 739.14 = 402.72 : x
  2. Step 2: Convert to fraction form
    535.31/739.14 = 402.72/x
  3. Step 3: Cross multiply
    535.31x = 739.14 × 402.72
  4. Step 4: Simplify right side
    535.31x = 297,662.18
  5. Step 5: Solve for x
    x = 297,662.18/535.31
  6. Step 6: Final answer
    x = 556.06

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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.