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Finding the Fourth Proportional to 458.05, 631.77 and 292.09

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Solution

The fourth proportional to 458.05, 631.77 and 292.09 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.05 : 631.77 = 292.09 : x
  2. Step 2: Convert to fraction form
    458.05/631.77 = 292.09/x
  3. Step 3: Cross multiply
    458.05x = 631.77 × 292.09
  4. Step 4: Simplify right side
    458.05x = 184,533.70
  5. Step 5: Solve for x
    x = 184,533.70/458.05
  6. Step 6: Final answer
    x = 402.87

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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.