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Finding the Fourth Proportional to 456.11, 630.81 and 406.91

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Solution

The fourth proportional to 456.11, 630.81 and 406.91 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.11 : 630.81 = 406.91 : x
  2. Step 2: Convert to fraction form
    456.11/630.81 = 406.91/x
  3. Step 3: Cross multiply
    456.11x = 630.81 × 406.91
  4. Step 4: Simplify right side
    456.11x = 256,679.74
  5. Step 5: Solve for x
    x = 256,679.74/456.11
  6. Step 6: Final answer
    x = 562.76

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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.