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Finding the Fourth Proportional to 476.35, 713.97 and 202.37

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Solution

The fourth proportional to 476.35, 713.97 and 202.37 is: 303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.35 : 713.97 = 202.37 : x
  2. Step 2: Convert to fraction form
    476.35/713.97 = 202.37/x
  3. Step 3: Cross multiply
    476.35x = 713.97 × 202.37
  4. Step 4: Simplify right side
    476.35x = 144,486.11
  5. Step 5: Solve for x
    x = 144,486.11/476.35
  6. Step 6: Final answer
    x = 303.32

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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.