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Finding the Fourth Proportional to 637.96, 880.02 and 460.72

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Solution

The fourth proportional to 637.96, 880.02 and 460.72 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.96 : 880.02 = 460.72 : x
  2. Step 2: Convert to fraction form
    637.96/880.02 = 460.72/x
  3. Step 3: Cross multiply
    637.96x = 880.02 × 460.72
  4. Step 4: Simplify right side
    637.96x = 405,442.81
  5. Step 5: Solve for x
    x = 405,442.81/637.96
  6. Step 6: Final answer
    x = 635.53

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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.