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Finding the Fourth Proportional to 497.05, 744.93 and 204.22

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Solution

The fourth proportional to 497.05, 744.93 and 204.22 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.05 : 744.93 = 204.22 : x
  2. Step 2: Convert to fraction form
    497.05/744.93 = 204.22/x
  3. Step 3: Cross multiply
    497.05x = 744.93 × 204.22
  4. Step 4: Simplify right side
    497.05x = 152,129.86
  5. Step 5: Solve for x
    x = 152,129.86/497.05
  6. Step 6: Final answer
    x = 306.07

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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.