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Finding the Fourth Proportional to 476.73, 715.20 and 202.77

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Solution

The fourth proportional to 476.73, 715.20 and 202.77 is: 304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 715.20 = 202.77 : x
  2. Step 2: Convert to fraction form
    476.73/715.20 = 202.77/x
  3. Step 3: Cross multiply
    476.73x = 715.20 × 202.77
  4. Step 4: Simplify right side
    476.73x = 145,021.10
  5. Step 5: Solve for x
    x = 145,021.10/476.73
  6. Step 6: Final answer
    x = 304.20

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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.