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Finding the Fourth Proportional to 905.87, 1,358.48 and 430.89

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Solution

The fourth proportional to 905.87, 1,358.48 and 430.89 is: 646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.87 : 1,358.48 = 430.89 : x
  2. Step 2: Convert to fraction form
    905.87/1,358.48 = 430.89/x
  3. Step 3: Cross multiply
    905.87x = 1,358.48 × 430.89
  4. Step 4: Simplify right side
    905.87x = 585,362.38
  5. Step 5: Solve for x
    x = 585,362.38/905.87
  6. Step 6: Final answer
    x = 646.19

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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.