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Finding the Fourth Proportional to 458.07, 630.14 and 401.79

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Solution

The fourth proportional to 458.07, 630.14 and 401.79 is: 552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.07 : 630.14 = 401.79 : x
  2. Step 2: Convert to fraction form
    458.07/630.14 = 401.79/x
  3. Step 3: Cross multiply
    458.07x = 630.14 × 401.79
  4. Step 4: Simplify right side
    458.07x = 253,181.94
  5. Step 5: Solve for x
    x = 253,181.94/458.07
  6. Step 6: Final answer
    x = 552.71

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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.