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Finding the Fourth Proportional to 642.02, 885.93 and 376.51

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Solution

The fourth proportional to 642.02, 885.93 and 376.51 is: 519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.02 : 885.93 = 376.51 : x
  2. Step 2: Convert to fraction form
    642.02/885.93 = 376.51/x
  3. Step 3: Cross multiply
    642.02x = 885.93 × 376.51
  4. Step 4: Simplify right side
    642.02x = 333,559.62
  5. Step 5: Solve for x
    x = 333,559.62/642.02
  6. Step 6: Final answer
    x = 519.55

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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.