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Finding the Fourth Proportional to 476.83, 715.44 and 202.97

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Solution

The fourth proportional to 476.83, 715.44 and 202.97 is: 304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.83 : 715.44 = 202.97 : x
  2. Step 2: Convert to fraction form
    476.83/715.44 = 202.97/x
  3. Step 3: Cross multiply
    476.83x = 715.44 × 202.97
  4. Step 4: Simplify right side
    476.83x = 145,212.86
  5. Step 5: Solve for x
    x = 145,212.86/476.83
  6. Step 6: Final answer
    x = 304.54

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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.