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Finding the Fourth Proportional to 476.22, 713.74 and 202

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Solution

The fourth proportional to 476.22, 713.74 and 202 is: 302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.22 : 713.74 = 202 : x
  2. Step 2: Convert to fraction form
    476.22/713.74 = 202/x
  3. Step 3: Cross multiply
    476.22x = 713.74 × 202
  4. Step 4: Simplify right side
    476.22x = 144,175.48
  5. Step 5: Solve for x
    x = 144,175.48/476.22
  6. Step 6: Final answer
    x = 302.75

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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.