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Finding the Fourth Proportional to 476.23, 714.47 and 151.63

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Solution

The fourth proportional to 476.23, 714.47 and 151.63 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.23 : 714.47 = 151.63 : x
  2. Step 2: Convert to fraction form
    476.23/714.47 = 151.63/x
  3. Step 3: Cross multiply
    476.23x = 714.47 × 151.63
  4. Step 4: Simplify right side
    476.23x = 108,335.09
  5. Step 5: Solve for x
    x = 108,335.09/476.23
  6. Step 6: Final answer
    x = 227.48

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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.