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Finding the Fourth Proportional to 458.51, 632.67 and 262.01

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Solution

The fourth proportional to 458.51, 632.67 and 262.01 is: 361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.51 : 632.67 = 262.01 : x
  2. Step 2: Convert to fraction form
    458.51/632.67 = 262.01/x
  3. Step 3: Cross multiply
    458.51x = 632.67 × 262.01
  4. Step 4: Simplify right side
    458.51x = 165,765.87
  5. Step 5: Solve for x
    x = 165,765.87/458.51
  6. Step 6: Final answer
    x = 361.53

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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.