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Finding the Fourth Proportional to 903.05, 1,354.67 and 286.84

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Solution

The fourth proportional to 903.05, 1,354.67 and 286.84 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.05 : 1,354.67 = 286.84 : x
  2. Step 2: Convert to fraction form
    903.05/1,354.67 = 286.84/x
  3. Step 3: Cross multiply
    903.05x = 1,354.67 × 286.84
  4. Step 4: Simplify right side
    903.05x = 388,573.54
  5. Step 5: Solve for x
    x = 388,573.54/903.05
  6. Step 6: Final answer
    x = 430.29

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