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Finding the Fourth Proportional to 458.22, 686.10 and 275.36

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Solution

The fourth proportional to 458.22, 686.10 and 275.36 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.22 : 686.10 = 275.36 : x
  2. Step 2: Convert to fraction form
    458.22/686.10 = 275.36/x
  3. Step 3: Cross multiply
    458.22x = 686.10 × 275.36
  4. Step 4: Simplify right side
    458.22x = 188,921.07
  5. Step 5: Solve for x
    x = 188,921.07/458.22
  6. Step 6: Final answer
    x = 412.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.