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Finding the Fourth Proportional to 476.58, 714.81 and 202.56

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Solution

The fourth proportional to 476.58, 714.81 and 202.56 is: 303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.58 : 714.81 = 202.56 : x
  2. Step 2: Convert to fraction form
    476.58/714.81 = 202.56/x
  3. Step 3: Cross multiply
    476.58x = 714.81 × 202.56
  4. Step 4: Simplify right side
    476.58x = 144,791.91
  5. Step 5: Solve for x
    x = 144,791.91/476.58
  6. Step 6: Final answer
    x = 303.81

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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.