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Finding the Fourth Proportional to 642.10, 886.29 and 393.58

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Solution

The fourth proportional to 642.10, 886.29 and 393.58 is: 543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 886.29 = 393.58 : x
  2. Step 2: Convert to fraction form
    642.10/886.29 = 393.58/x
  3. Step 3: Cross multiply
    642.10x = 886.29 × 393.58
  4. Step 4: Simplify right side
    642.10x = 348,826.02
  5. Step 5: Solve for x
    x = 348,826.02/642.10
  6. Step 6: Final answer
    x = 543.26

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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.