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Finding the Fourth Proportional to 458.37, 686.43 and 295.56

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Solution

The fourth proportional to 458.37, 686.43 and 295.56 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.37 : 686.43 = 295.56 : x
  2. Step 2: Convert to fraction form
    458.37/686.43 = 295.56/x
  3. Step 3: Cross multiply
    458.37x = 686.43 × 295.56
  4. Step 4: Simplify right side
    458.37x = 202,881.25
  5. Step 5: Solve for x
    x = 202,881.25/458.37
  6. Step 6: Final answer
    x = 442.61

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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.