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Finding the Fourth Proportional to 654.74, 902.58 and 537.38

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Solution

The fourth proportional to 654.74, 902.58 and 537.38 is: 740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.74 : 902.58 = 537.38 : x
  2. Step 2: Convert to fraction form
    654.74/902.58 = 537.38/x
  3. Step 3: Cross multiply
    654.74x = 902.58 × 537.38
  4. Step 4: Simplify right side
    654.74x = 485,028.44
  5. Step 5: Solve for x
    x = 485,028.44/654.74
  6. Step 6: Final answer
    x = 740.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.