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Finding the Fourth Proportional to 296.31, 444.87 and 286.59

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Solution

The fourth proportional to 296.31, 444.87 and 286.59 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.31 : 444.87 = 286.59 : x
  2. Step 2: Convert to fraction form
    296.31/444.87 = 286.59/x
  3. Step 3: Cross multiply
    296.31x = 444.87 × 286.59
  4. Step 4: Simplify right side
    296.31x = 127,495.29
  5. Step 5: Solve for x
    x = 127,495.29/296.31
  6. Step 6: Final answer
    x = 430.28

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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.