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Finding the Fourth Proportional to 574.30, 791.13 and 457.66

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Solution

The fourth proportional to 574.30, 791.13 and 457.66 is: 630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.30 : 791.13 = 457.66 : x
  2. Step 2: Convert to fraction form
    574.30/791.13 = 457.66/x
  3. Step 3: Cross multiply
    574.30x = 791.13 × 457.66
  4. Step 4: Simplify right side
    574.30x = 362,068.56
  5. Step 5: Solve for x
    x = 362,068.56/574.30
  6. Step 6: Final answer
    x = 630.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.