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Finding the Fourth Proportional to 698.21, 1,046.54 and 351.32

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Solution

The fourth proportional to 698.21, 1,046.54 and 351.32 is: 526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.21 : 1,046.54 = 351.32 : x
  2. Step 2: Convert to fraction form
    698.21/1,046.54 = 351.32/x
  3. Step 3: Cross multiply
    698.21x = 1,046.54 × 351.32
  4. Step 4: Simplify right side
    698.21x = 367,663.44
  5. Step 5: Solve for x
    x = 367,663.44/698.21
  6. Step 6: Final answer
    x = 526.58

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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.