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Finding the Fourth Proportional to 642.33, 886.01 and 421.54

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Solution

The fourth proportional to 642.33, 886.01 and 421.54 is: 581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.33 : 886.01 = 421.54 : x
  2. Step 2: Convert to fraction form
    642.33/886.01 = 421.54/x
  3. Step 3: Cross multiply
    642.33x = 886.01 × 421.54
  4. Step 4: Simplify right side
    642.33x = 373,484.33
  5. Step 5: Solve for x
    x = 373,484.33/642.33
  6. Step 6: Final answer
    x = 581.45

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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.