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Finding the Fourth Proportional to 457.05, 630.39 and 291.09

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Solution

The fourth proportional to 457.05, 630.39 and 291.09 is: 401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 630.39 = 291.09 : x
  2. Step 2: Convert to fraction form
    457.05/630.39 = 291.09/x
  3. Step 3: Cross multiply
    457.05x = 630.39 × 291.09
  4. Step 4: Simplify right side
    457.05x = 183,500.23
  5. Step 5: Solve for x
    x = 183,500.23/457.05
  6. Step 6: Final answer
    x = 401.49

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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.