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Finding the Fourth Proportional to 476.32, 713.13 and 302.55

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Solution

The fourth proportional to 476.32, 713.13 and 302.55 is: 452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.32 : 713.13 = 302.55 : x
  2. Step 2: Convert to fraction form
    476.32/713.13 = 302.55/x
  3. Step 3: Cross multiply
    476.32x = 713.13 × 302.55
  4. Step 4: Simplify right side
    476.32x = 215,760.04
  5. Step 5: Solve for x
    x = 215,760.04/476.32
  6. Step 6: Final answer
    x = 452.97

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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.