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Finding the Fourth Proportional to 458.64, 633.51 and 372.36

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Solution

The fourth proportional to 458.64, 633.51 and 372.36 is: 514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.64 : 633.51 = 372.36 : x
  2. Step 2: Convert to fraction form
    458.64/633.51 = 372.36/x
  3. Step 3: Cross multiply
    458.64x = 633.51 × 372.36
  4. Step 4: Simplify right side
    458.64x = 235,893.78
  5. Step 5: Solve for x
    x = 235,893.78/458.64
  6. Step 6: Final answer
    x = 514.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.