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Finding the Fourth Proportional to 296.96, 410.42 and 260.94

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Solution

The fourth proportional to 296.96, 410.42 and 260.94 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 410.42 = 260.94 : x
  2. Step 2: Convert to fraction form
    296.96/410.42 = 260.94/x
  3. Step 3: Cross multiply
    296.96x = 410.42 × 260.94
  4. Step 4: Simplify right side
    296.96x = 107,093.69
  5. Step 5: Solve for x
    x = 107,093.69/296.96
  6. Step 6: Final answer
    x = 360.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.