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Finding the Fourth Proportional to 642.93, 886.23 and 456.02

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Solution

The fourth proportional to 642.93, 886.23 and 456.02 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.93 : 886.23 = 456.02 : x
  2. Step 2: Convert to fraction form
    642.93/886.23 = 456.02/x
  3. Step 3: Cross multiply
    642.93x = 886.23 × 456.02
  4. Step 4: Simplify right side
    642.93x = 404,138.60
  5. Step 5: Solve for x
    x = 404,138.60/642.93
  6. Step 6: Final answer
    x = 628.59

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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.