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Finding the Fourth Proportional to 654.45, 903.16 and 374.66

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Solution

The fourth proportional to 654.45, 903.16 and 374.66 is: 517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.45 : 903.16 = 374.66 : x
  2. Step 2: Convert to fraction form
    654.45/903.16 = 374.66/x
  3. Step 3: Cross multiply
    654.45x = 903.16 × 374.66
  4. Step 4: Simplify right side
    654.45x = 338,377.93
  5. Step 5: Solve for x
    x = 338,377.93/654.45
  6. Step 6: Final answer
    x = 517.04

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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.