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Finding the Fourth Proportional to 458.54, 632.50 and 374.63

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Solution

The fourth proportional to 458.54, 632.50 and 374.63 is: 516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.54 : 632.50 = 374.63 : x
  2. Step 2: Convert to fraction form
    458.54/632.50 = 374.63/x
  3. Step 3: Cross multiply
    458.54x = 632.50 × 374.63
  4. Step 4: Simplify right side
    458.54x = 236,954.12
  5. Step 5: Solve for x
    x = 236,954.12/458.54
  6. Step 6: Final answer
    x = 516.76

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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.