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Finding the Fourth Proportional to 493.53, 680.58 and 297.06

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Solution

The fourth proportional to 493.53, 680.58 and 297.06 is: 409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.53 : 680.58 = 297.06 : x
  2. Step 2: Convert to fraction form
    493.53/680.58 = 297.06/x
  3. Step 3: Cross multiply
    493.53x = 680.58 × 297.06
  4. Step 4: Simplify right side
    493.53x = 202,173.09
  5. Step 5: Solve for x
    x = 202,173.09/493.53
  6. Step 6: Final answer
    x = 409.65

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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.