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Finding the Fourth Proportional to 458.66, 687.86 and 150.46

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Solution

The fourth proportional to 458.66, 687.86 and 150.46 is: 225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.66 : 687.86 = 150.46 : x
  2. Step 2: Convert to fraction form
    458.66/687.86 = 150.46/x
  3. Step 3: Cross multiply
    458.66x = 687.86 × 150.46
  4. Step 4: Simplify right side
    458.66x = 103,493.51
  5. Step 5: Solve for x
    x = 103,493.51/458.66
  6. Step 6: Final answer
    x = 225.64

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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.