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Finding the Fourth Proportional to 476.14, 714.08 and 202.09

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Solution

The fourth proportional to 476.14, 714.08 and 202.09 is: 303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.14 : 714.08 = 202.09 : x
  2. Step 2: Convert to fraction form
    476.14/714.08 = 202.09/x
  3. Step 3: Cross multiply
    476.14x = 714.08 × 202.09
  4. Step 4: Simplify right side
    476.14x = 144,303.85
  5. Step 5: Solve for x
    x = 144,303.85/476.14
  6. Step 6: Final answer
    x = 303.07

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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.