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Finding the Fourth Proportional to 680.53, 1,021.31 and 315.58

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Solution

The fourth proportional to 680.53, 1,021.31 and 315.58 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.53 : 1,021.31 = 315.58 : x
  2. Step 2: Convert to fraction form
    680.53/1,021.31 = 315.58/x
  3. Step 3: Cross multiply
    680.53x = 1,021.31 × 315.58
  4. Step 4: Simplify right side
    680.53x = 322,299.67
  5. Step 5: Solve for x
    x = 322,299.67/680.53
  6. Step 6: Final answer
    x = 473.60

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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.