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Finding the Fourth Proportional to 654.75, 903.51 and 374.94

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Solution

The fourth proportional to 654.75, 903.51 and 374.94 is: 517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 903.51 = 374.94 : x
  2. Step 2: Convert to fraction form
    654.75/903.51 = 374.94/x
  3. Step 3: Cross multiply
    654.75x = 903.51 × 374.94
  4. Step 4: Simplify right side
    654.75x = 338,762.04
  5. Step 5: Solve for x
    x = 338,762.04/654.75
  6. Step 6: Final answer
    x = 517.39

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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.