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Finding the Fourth Proportional to 697.51, 1,046.31 and 235.32

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Solution

The fourth proportional to 697.51, 1,046.31 and 235.32 is: 353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.51 : 1,046.31 = 235.32 : x
  2. Step 2: Convert to fraction form
    697.51/1,046.31 = 235.32/x
  3. Step 3: Cross multiply
    697.51x = 1,046.31 × 235.32
  4. Step 4: Simplify right side
    697.51x = 246,217.67
  5. Step 5: Solve for x
    x = 246,217.67/697.51
  6. Step 6: Final answer
    x = 353.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.