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Finding the Fourth Proportional to 903.20, 1,354.80 and 286.97

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Solution

The fourth proportional to 903.20, 1,354.80 and 286.97 is: 430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.20 : 1,354.80 = 286.97 : x
  2. Step 2: Convert to fraction form
    903.20/1,354.80 = 286.97/x
  3. Step 3: Cross multiply
    903.20x = 1,354.80 × 286.97
  4. Step 4: Simplify right side
    903.20x = 388,786.96
  5. Step 5: Solve for x
    x = 388,786.96/903.20
  6. Step 6: Final answer
    x = 430.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.