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Finding the Fourth Proportional to 476.89, 715.46 and 202.84

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Solution

The fourth proportional to 476.89, 715.46 and 202.84 is: 304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.89 : 715.46 = 202.84 : x
  2. Step 2: Convert to fraction form
    476.89/715.46 = 202.84/x
  3. Step 3: Cross multiply
    476.89x = 715.46 × 202.84
  4. Step 4: Simplify right side
    476.89x = 145,121.10
  5. Step 5: Solve for x
    x = 145,121.10/476.89
  6. Step 6: Final answer
    x = 304.31

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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.