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Finding the Fourth Proportional to 903.14, 1,354.82 and 286.62

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Solution

The fourth proportional to 903.14, 1,354.82 and 286.62 is: 429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.14 : 1,354.82 = 286.62 : x
  2. Step 2: Convert to fraction form
    903.14/1,354.82 = 286.62/x
  3. Step 3: Cross multiply
    903.14x = 1,354.82 × 286.62
  4. Step 4: Simplify right side
    903.14x = 388,317.61
  5. Step 5: Solve for x
    x = 388,317.61/903.14
  6. Step 6: Final answer
    x = 429.97

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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.