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Finding the Fourth Proportional to 945.31, 1,417.96 and 296.09

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Solution

The fourth proportional to 945.31, 1,417.96 and 296.09 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.31 : 1,417.96 = 296.09 : x
  2. Step 2: Convert to fraction form
    945.31/1,417.96 = 296.09/x
  3. Step 3: Cross multiply
    945.31x = 1,417.96 × 296.09
  4. Step 4: Simplify right side
    945.31x = 419,850.20
  5. Step 5: Solve for x
    x = 419,850.20/945.31
  6. Step 6: Final answer
    x = 444.14

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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.